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Finding the Third Proportional to 31,349 and 67,012

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Solution

The third proportional to 31,349 and 67,012 is: 143,245.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,349 : 67,012 = 67,012 : x
  2. Step 2: Convert to fraction form
    31,349/67,012 = 67,012/x
  3. Step 3: Cross multiply
    31,349x = 67,012 × 67,012
  4. Step 4: Simplify right side
    31,349x = 4,490,608,144
  5. Step 5: Solve for x
    x = 4,490,608,144/31,349
  6. Step 6: Final answer
    x = 143,245.66

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.