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Finding the Third Proportional to 40,685 and 60,811

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Solution

The third proportional to 40,685 and 60,811 is: 90,892.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,685 : 60,811 = 60,811 : x
  2. Step 2: Convert to fraction form
    40,685/60,811 = 60,811/x
  3. Step 3: Cross multiply
    40,685x = 60,811 × 60,811
  4. Step 4: Simplify right side
    40,685x = 3,697,977,721
  5. Step 5: Solve for x
    x = 3,697,977,721/40,685
  6. Step 6: Final answer
    x = 90,892.90

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.