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Finding the Third Proportional to 43,996 and 62,686

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Solution

The third proportional to 43,996 and 62,686 is: 89,315.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,996 : 62,686 = 62,686 : x
  2. Step 2: Convert to fraction form
    43,996/62,686 = 62,686/x
  3. Step 3: Cross multiply
    43,996x = 62,686 × 62,686
  4. Step 4: Simplify right side
    43,996x = 3,929,534,596
  5. Step 5: Solve for x
    x = 3,929,534,596/43,996
  6. Step 6: Final answer
    x = 89,315.72

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These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.