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Finding the Third Proportional to 39,792 and 55,781

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Solution

The third proportional to 39,792 and 55,781 is: 78,194.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,792 : 55,781 = 55,781 : x
  2. Step 2: Convert to fraction form
    39,792/55,781 = 55,781/x
  3. Step 3: Cross multiply
    39,792x = 55,781 × 55,781
  4. Step 4: Simplify right side
    39,792x = 3,111,519,961
  5. Step 5: Solve for x
    x = 3,111,519,961/39,792
  6. Step 6: Final answer
    x = 78,194.61

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.