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Finding the Third Proportional to 41,016 and 64,257

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Solution

The third proportional to 41,016 and 64,257 is: 100,667.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,016 : 64,257 = 64,257 : x
  2. Step 2: Convert to fraction form
    41,016/64,257 = 64,257/x
  3. Step 3: Cross multiply
    41,016x = 64,257 × 64,257
  4. Step 4: Simplify right side
    41,016x = 4,128,962,049
  5. Step 5: Solve for x
    x = 4,128,962,049/41,016
  6. Step 6: Final answer
    x = 100,667.11

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.