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Finding the Third Proportional to 25,275.38 and 39,646.13

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Solution

The third proportional to 25,275.38 and 39,646.13 is: 62,187.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,275.38 : 39,646.13 = 39,646.13 : x
  2. Step 2: Convert to fraction form
    25,275.38/39,646.13 = 39,646.13/x
  3. Step 3: Cross multiply
    25,275.38x = 39,646.13 × 39,646.13
  4. Step 4: Simplify right side
    25,275.38x = 1,571,815,227.52
  5. Step 5: Solve for x
    x = 1,571,815,227.52/25,275.38
  6. Step 6: Final answer
    x = 62,187.61

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.