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Finding the Third Proportional to 31,347 and 67,007.25

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Solution

The third proportional to 31,347 and 67,007.25 is: 143,234.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,347 : 67,007.25 = 67,007.25 : x
  2. Step 2: Convert to fraction form
    31,347/67,007.25 = 67,007.25/x
  3. Step 3: Cross multiply
    31,347x = 67,007.25 × 67,007.25
  4. Step 4: Simplify right side
    31,347x = 4,489,971,552.56
  5. Step 5: Solve for x
    x = 4,489,971,552.56/31,347
  6. Step 6: Final answer
    x = 143,234.49

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