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Finding the Third Proportional to 31,167 and 42,581.25

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Solution

The third proportional to 31,167 and 42,581.25 is: 58,175.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,167 : 42,581.25 = 42,581.25 : x
  2. Step 2: Convert to fraction form
    31,167/42,581.25 = 42,581.25/x
  3. Step 3: Cross multiply
    31,167x = 42,581.25 × 42,581.25
  4. Step 4: Simplify right side
    31,167x = 1,813,162,851.56
  5. Step 5: Solve for x
    x = 1,813,162,851.56/31,167
  6. Step 6: Final answer
    x = 58,175.73

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.