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Finding the Third Proportional to 15,729.75 and 34,062.75

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Solution

The third proportional to 15,729.75 and 34,062.75 is: 73,762.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,729.75 : 34,062.75 = 34,062.75 : x
  2. Step 2: Convert to fraction form
    15,729.75/34,062.75 = 34,062.75/x
  3. Step 3: Cross multiply
    15,729.75x = 34,062.75 × 34,062.75
  4. Step 4: Simplify right side
    15,729.75x = 1,160,270,937.56
  5. Step 5: Solve for x
    x = 1,160,270,937.56/15,729.75
  6. Step 6: Final answer
    x = 73,762.83

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.