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Finding the Third Proportional to 41,240 and 64,016

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Solution

The third proportional to 41,240 and 64,016 is: 99,370.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,240 : 64,016 = 64,016 : x
  2. Step 2: Convert to fraction form
    41,240/64,016 = 64,016/x
  3. Step 3: Cross multiply
    41,240x = 64,016 × 64,016
  4. Step 4: Simplify right side
    41,240x = 4,098,048,256
  5. Step 5: Solve for x
    x = 4,098,048,256/41,240
  6. Step 6: Final answer
    x = 99,370.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.