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Finding the Third Proportional to 41,165.72 and 61,737.19

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Solution

The third proportional to 41,165.72 and 61,737.19 is: 92,588.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,165.72 : 61,737.19 = 61,737.19 : x
  2. Step 2: Convert to fraction form
    41,165.72/61,737.19 = 61,737.19/x
  3. Step 3: Cross multiply
    41,165.72x = 61,737.19 × 61,737.19
  4. Step 4: Simplify right side
    41,165.72x = 3,811,480,320.41
  5. Step 5: Solve for x
    x = 3,811,480,320.41/41,165.72
  6. Step 6: Final answer
    x = 92,588.70

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.