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Finding the Third Proportional to 41,266 and 63,615

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Solution

The third proportional to 41,266 and 63,615 is: 98,067.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,266 : 63,615 = 63,615 : x
  2. Step 2: Convert to fraction form
    41,266/63,615 = 63,615/x
  3. Step 3: Cross multiply
    41,266x = 63,615 × 63,615
  4. Step 4: Simplify right side
    41,266x = 4,046,868,225
  5. Step 5: Solve for x
    x = 4,046,868,225/41,266
  6. Step 6: Final answer
    x = 98,067.86

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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.