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Finding the Third Proportional to 40,595 and 60,727

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Solution

The third proportional to 40,595 and 60,727 is: 90,842.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,595 : 60,727 = 60,727 : x
  2. Step 2: Convert to fraction form
    40,595/60,727 = 60,727/x
  3. Step 3: Cross multiply
    40,595x = 60,727 × 60,727
  4. Step 4: Simplify right side
    40,595x = 3,687,768,529
  5. Step 5: Solve for x
    x = 3,687,768,529/40,595
  6. Step 6: Final answer
    x = 90,842.92

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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.