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Finding the Third Proportional to 41,408 and 63,797

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Solution

The third proportional to 41,408 and 63,797 is: 98,291.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,408 : 63,797 = 63,797 : x
  2. Step 2: Convert to fraction form
    41,408/63,797 = 63,797/x
  3. Step 3: Cross multiply
    41,408x = 63,797 × 63,797
  4. Step 4: Simplify right side
    41,408x = 4,070,057,209
  5. Step 5: Solve for x
    x = 4,070,057,209/41,408
  6. Step 6: Final answer
    x = 98,291.57

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.