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Finding the Third Proportional to 43,716 and 65,792

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Solution

The third proportional to 43,716 and 65,792 is: 99,016.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,716 : 65,792 = 65,792 : x
  2. Step 2: Convert to fraction form
    43,716/65,792 = 65,792/x
  3. Step 3: Cross multiply
    43,716x = 65,792 × 65,792
  4. Step 4: Simplify right side
    43,716x = 4,328,587,264
  5. Step 5: Solve for x
    x = 4,328,587,264/43,716
  6. Step 6: Final answer
    x = 99,016.09

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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.