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Finding the Third Proportional to 31,839.75 and 34,570.13

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Solution

The third proportional to 31,839.75 and 34,570.13 is: 37,534.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,839.75 : 34,570.13 = 34,570.13 : x
  2. Step 2: Convert to fraction form
    31,839.75/34,570.13 = 34,570.13/x
  3. Step 3: Cross multiply
    31,839.75x = 34,570.13 × 34,570.13
  4. Step 4: Simplify right side
    31,839.75x = 1,195,093,542.52
  5. Step 5: Solve for x
    x = 1,195,093,542.52/31,839.75
  6. Step 6: Final answer
    x = 37,534.64

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.