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Finding the Third Proportional to 41,644 and 63,508

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Solution

The third proportional to 41,644 and 63,508 is: 96,851.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,644 : 63,508 = 63,508 : x
  2. Step 2: Convert to fraction form
    41,644/63,508 = 63,508/x
  3. Step 3: Cross multiply
    41,644x = 63,508 × 63,508
  4. Step 4: Simplify right side
    41,644x = 4,033,266,064
  5. Step 5: Solve for x
    x = 4,033,266,064/41,644
  6. Step 6: Final answer
    x = 96,851.07

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.