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Finding the Third Proportional to 40,454 and 62,811

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Solution

The third proportional to 40,454 and 62,811 is: 97,523.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,454 : 62,811 = 62,811 : x
  2. Step 2: Convert to fraction form
    40,454/62,811 = 62,811/x
  3. Step 3: Cross multiply
    40,454x = 62,811 × 62,811
  4. Step 4: Simplify right side
    40,454x = 3,945,221,721
  5. Step 5: Solve for x
    x = 3,945,221,721/40,454
  6. Step 6: Final answer
    x = 97,523.65

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.