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Finding the Third Proportional to 31,837.50 and 43,084.69

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Solution

The third proportional to 31,837.50 and 43,084.69 is: 58,305.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,837.50 : 43,084.69 = 43,084.69 : x
  2. Step 2: Convert to fraction form
    31,837.50/43,084.69 = 43,084.69/x
  3. Step 3: Cross multiply
    31,837.50x = 43,084.69 × 43,084.69
  4. Step 4: Simplify right side
    31,837.50x = 1,856,290,296.97
  5. Step 5: Solve for x
    x = 1,856,290,296.97/31,837.50
  6. Step 6: Final answer
    x = 58,305.15

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.