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Finding the Third Proportional to 43,766 and 61,932

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Solution

The third proportional to 43,766 and 61,932 is: 87,638.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,766 : 61,932 = 61,932 : x
  2. Step 2: Convert to fraction form
    43,766/61,932 = 61,932/x
  3. Step 3: Cross multiply
    43,766x = 61,932 × 61,932
  4. Step 4: Simplify right side
    43,766x = 3,835,572,624
  5. Step 5: Solve for x
    x = 3,835,572,624/43,766
  6. Step 6: Final answer
    x = 87,638.18

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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.