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Finding the Third Proportional to 25,998 and 53,228.25

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Solution

The third proportional to 25,998 and 53,228.25 is: 108,979.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,998 : 53,228.25 = 53,228.25 : x
  2. Step 2: Convert to fraction form
    25,998/53,228.25 = 53,228.25/x
  3. Step 3: Cross multiply
    25,998x = 53,228.25 × 53,228.25
  4. Step 4: Simplify right side
    25,998x = 2,833,246,598.06
  5. Step 5: Solve for x
    x = 2,833,246,598.06/25,998
  6. Step 6: Final answer
    x = 108,979.41

Related Problems

Find third proportional to 12,999 and 26,614.13
Half scale
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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.