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Finding the Third Proportional to 39,792 and 55,780

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Solution

The third proportional to 39,792 and 55,780 is: 78,191.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,792 : 55,780 = 55,780 : x
  2. Step 2: Convert to fraction form
    39,792/55,780 = 55,780/x
  3. Step 3: Cross multiply
    39,792x = 55,780 × 55,780
  4. Step 4: Simplify right side
    39,792x = 3,111,408,400
  5. Step 5: Solve for x
    x = 3,111,408,400/39,792
  6. Step 6: Final answer
    x = 78,191.81

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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.