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Finding the Third Proportional to 39,405 and 59,109

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Solution

The third proportional to 39,405 and 59,109 is: 88,665.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,405 : 59,109 = 59,109 : x
  2. Step 2: Convert to fraction form
    39,405/59,109 = 59,109/x
  3. Step 3: Cross multiply
    39,405x = 59,109 × 59,109
  4. Step 4: Simplify right side
    39,405x = 3,493,873,881
  5. Step 5: Solve for x
    x = 3,493,873,881/39,405
  6. Step 6: Final answer
    x = 88,665.75

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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.