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Finding the Third Proportional to 31,060.50 and 41,382.50

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Solution

The third proportional to 31,060.50 and 41,382.50 is: 55,134.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,060.50 : 41,382.50 = 41,382.50 : x
  2. Step 2: Convert to fraction form
    31,060.50/41,382.50 = 41,382.50/x
  3. Step 3: Cross multiply
    31,060.50x = 41,382.50 × 41,382.50
  4. Step 4: Simplify right side
    31,060.50x = 1,712,511,306.25
  5. Step 5: Solve for x
    x = 1,712,511,306.25/31,060.50
  6. Step 6: Final answer
    x = 55,134.70

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.