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Finding the Third Proportional to 41,012 and 63,249

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Solution

The third proportional to 41,012 and 63,249 is: 97,543.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,012 : 63,249 = 63,249 : x
  2. Step 2: Convert to fraction form
    41,012/63,249 = 63,249/x
  3. Step 3: Cross multiply
    41,012x = 63,249 × 63,249
  4. Step 4: Simplify right side
    41,012x = 4,000,436,001
  5. Step 5: Solve for x
    x = 4,000,436,001/41,012
  6. Step 6: Final answer
    x = 97,543.06

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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.