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Finding the Third Proportional to 40,565.75 and 60,511

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Solution

The third proportional to 40,565.75 and 60,511 is: 90,262.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,565.75 : 60,511 = 60,511 : x
  2. Step 2: Convert to fraction form
    40,565.75/60,511 = 60,511/x
  3. Step 3: Cross multiply
    40,565.75x = 60,511 × 60,511
  4. Step 4: Simplify right side
    40,565.75x = 3,661,581,121
  5. Step 5: Solve for x
    x = 3,661,581,121/40,565.75
  6. Step 6: Final answer
    x = 90,262.87

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Why These Related Problems?

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