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Finding the Third Proportional to 25,995.75 and 53,223

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Solution

The third proportional to 25,995.75 and 53,223 is: 108,967.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,995.75 : 53,223 = 53,223 : x
  2. Step 2: Convert to fraction form
    25,995.75/53,223 = 53,223/x
  3. Step 3: Cross multiply
    25,995.75x = 53,223 × 53,223
  4. Step 4: Simplify right side
    25,995.75x = 2,832,687,729
  5. Step 5: Solve for x
    x = 2,832,687,729/25,995.75
  6. Step 6: Final answer
    x = 108,967.34

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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.