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Finding the Third Proportional to 25,792 and 38,592

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Solution

The third proportional to 25,792 and 38,592 is: 57,744.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,792 : 38,592 = 38,592 : x
  2. Step 2: Convert to fraction form
    25,792/38,592 = 38,592/x
  3. Step 3: Cross multiply
    25,792x = 38,592 × 38,592
  4. Step 4: Simplify right side
    25,792x = 1,489,342,464
  5. Step 5: Solve for x
    x = 1,489,342,464/25,792
  6. Step 6: Final answer
    x = 57,744.36

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.