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Finding the Third Proportional to 40,081 and 63,464

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Solution

The third proportional to 40,081 and 63,464 is: 100,488.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,081 : 63,464 = 63,464 : x
  2. Step 2: Convert to fraction form
    40,081/63,464 = 63,464/x
  3. Step 3: Cross multiply
    40,081x = 63,464 × 63,464
  4. Step 4: Simplify right side
    40,081x = 4,027,679,296
  5. Step 5: Solve for x
    x = 4,027,679,296/40,081
  6. Step 6: Final answer
    x = 100,488.49

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.