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Finding the Third Proportional to 31,083.75 and 72,687.38

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Solution

The third proportional to 31,083.75 and 72,687.38 is: 169,974.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,083.75 : 72,687.38 = 72,687.38 : x
  2. Step 2: Convert to fraction form
    31,083.75/72,687.38 = 72,687.38/x
  3. Step 3: Cross multiply
    31,083.75x = 72,687.38 × 72,687.38
  4. Step 4: Simplify right side
    31,083.75x = 5,283,454,484.39
  5. Step 5: Solve for x
    x = 5,283,454,484.39/31,083.75
  6. Step 6: Final answer
    x = 169,974.81

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.