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Finding the Third Proportional to 10,054.13 and 23,284.13

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Solution

The third proportional to 10,054.13 and 23,284.13 is: 53,923.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,054.13 : 23,284.13 = 23,284.13 : x
  2. Step 2: Convert to fraction form
    10,054.13/23,284.13 = 23,284.13/x
  3. Step 3: Cross multiply
    10,054.13x = 23,284.13 × 23,284.13
  4. Step 4: Simplify right side
    10,054.13x = 542,150,477.02
  5. Step 5: Solve for x
    x = 542,150,477.02/10,054.13
  6. Step 6: Final answer
    x = 53,923.19

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.