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Finding the Third Proportional to 39,744 and 59,701.22

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Solution

The third proportional to 39,744 and 59,701.22 is: 89,679.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,744 : 59,701.22 = 59,701.22 : x
  2. Step 2: Convert to fraction form
    39,744/59,701.22 = 59,701.22/x
  3. Step 3: Cross multiply
    39,744x = 59,701.22 × 59,701.22
  4. Step 4: Simplify right side
    39,744x = 3,564,235,520.24
  5. Step 5: Solve for x
    x = 3,564,235,520.24/39,744
  6. Step 6: Final answer
    x = 89,679.84

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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.