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Finding the Third Proportional to 41,577 and 63,903

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Solution

The third proportional to 41,577 and 63,903 is: 98,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,577 : 63,903 = 63,903 : x
  2. Step 2: Convert to fraction form
    41,577/63,903 = 63,903/x
  3. Step 3: Cross multiply
    41,577x = 63,903 × 63,903
  4. Step 4: Simplify right side
    41,577x = 4,083,593,409
  5. Step 5: Solve for x
    x = 4,083,593,409/41,577
  6. Step 6: Final answer
    x = 98,217.61

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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.