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Finding the Third Proportional to 31,024 and 67,016

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Solution

The third proportional to 31,024 and 67,016 is: 144,763.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,024 : 67,016 = 67,016 : x
  2. Step 2: Convert to fraction form
    31,024/67,016 = 67,016/x
  3. Step 3: Cross multiply
    31,024x = 67,016 × 67,016
  4. Step 4: Simplify right side
    31,024x = 4,491,144,256
  5. Step 5: Solve for x
    x = 4,491,144,256/31,024
  6. Step 6: Final answer
    x = 144,763.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.