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Finding the Third Proportional to 43,792 and 67,929

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Solution

The third proportional to 43,792 and 67,929 is: 105,369.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,792 : 67,929 = 67,929 : x
  2. Step 2: Convert to fraction form
    43,792/67,929 = 67,929/x
  3. Step 3: Cross multiply
    43,792x = 67,929 × 67,929
  4. Step 4: Simplify right side
    43,792x = 4,614,349,041
  5. Step 5: Solve for x
    x = 4,614,349,041/43,792
  6. Step 6: Final answer
    x = 105,369.68

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.