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Finding the Third Proportional to 41,488 and 63,096

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Solution

The third proportional to 41,488 and 63,096 is: 95,957.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,488 : 63,096 = 63,096 : x
  2. Step 2: Convert to fraction form
    41,488/63,096 = 63,096/x
  3. Step 3: Cross multiply
    41,488x = 63,096 × 63,096
  4. Step 4: Simplify right side
    41,488x = 3,981,105,216
  5. Step 5: Solve for x
    x = 3,981,105,216/41,488
  6. Step 6: Final answer
    x = 95,957.99

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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.