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Finding the Third Proportional to 41,579 and 63,406

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Solution

The third proportional to 41,579 and 63,406 is: 96,691.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,579 : 63,406 = 63,406 : x
  2. Step 2: Convert to fraction form
    41,579/63,406 = 63,406/x
  3. Step 3: Cross multiply
    41,579x = 63,406 × 63,406
  4. Step 4: Simplify right side
    41,579x = 4,020,320,836
  5. Step 5: Solve for x
    x = 4,020,320,836/41,579
  6. Step 6: Final answer
    x = 96,691.14

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.