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Finding the Third Proportional to 39,446 and 59,580

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Solution

The third proportional to 39,446 and 59,580 is: 89,990.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,446 : 59,580 = 59,580 : x
  2. Step 2: Convert to fraction form
    39,446/59,580 = 59,580/x
  3. Step 3: Cross multiply
    39,446x = 59,580 × 59,580
  4. Step 4: Simplify right side
    39,446x = 3,549,776,400
  5. Step 5: Solve for x
    x = 3,549,776,400/39,446
  6. Step 6: Final answer
    x = 89,990.78

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.