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Finding the Third Proportional to 25,428 and 39,691

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Solution

The third proportional to 25,428 and 39,691 is: 61,954.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,428 : 39,691 = 39,691 : x
  2. Step 2: Convert to fraction form
    25,428/39,691 = 39,691/x
  3. Step 3: Cross multiply
    25,428x = 39,691 × 39,691
  4. Step 4: Simplify right side
    25,428x = 1,575,375,481
  5. Step 5: Solve for x
    x = 1,575,375,481/25,428
  6. Step 6: Final answer
    x = 61,954.36

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.