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Finding the Third Proportional to 31,171 and 42,587

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Solution

The third proportional to 31,171 and 42,587 is: 58,183.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171 : 42,587 = 42,587 : x
  2. Step 2: Convert to fraction form
    31,171/42,587 = 42,587/x
  3. Step 3: Cross multiply
    31,171x = 42,587 × 42,587
  4. Step 4: Simplify right side
    31,171x = 1,813,652,569
  5. Step 5: Solve for x
    x = 1,813,652,569/31,171
  6. Step 6: Final answer
    x = 58,183.97

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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.