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Finding the Third Proportional to 41,287 and 63,262

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Solution

The third proportional to 41,287 and 63,262 is: 96,933.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,287 : 63,262 = 63,262 : x
  2. Step 2: Convert to fraction form
    41,287/63,262 = 63,262/x
  3. Step 3: Cross multiply
    41,287x = 63,262 × 63,262
  4. Step 4: Simplify right side
    41,287x = 4,002,080,644
  5. Step 5: Solve for x
    x = 4,002,080,644/41,287
  6. Step 6: Final answer
    x = 96,933.19

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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.