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Finding the Third Proportional to 39,446 and 59,188

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Solution

The third proportional to 39,446 and 59,188 is: 88,810.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,446 : 59,188 = 59,188 : x
  2. Step 2: Convert to fraction form
    39,446/59,188 = 59,188/x
  3. Step 3: Cross multiply
    39,446x = 59,188 × 59,188
  4. Step 4: Simplify right side
    39,446x = 3,503,219,344
  5. Step 5: Solve for x
    x = 3,503,219,344/39,446
  6. Step 6: Final answer
    x = 88,810.51

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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.