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Finding the Third Proportional to 13,173.25 and 31,747.25

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Solution

The third proportional to 13,173.25 and 31,747.25 is: 76,510.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,173.25 : 31,747.25 = 31,747.25 : x
  2. Step 2: Convert to fraction form
    13,173.25/31,747.25 = 31,747.25/x
  3. Step 3: Cross multiply
    13,173.25x = 31,747.25 × 31,747.25
  4. Step 4: Simplify right side
    13,173.25x = 1,007,887,882.56
  5. Step 5: Solve for x
    x = 1,007,887,882.56/13,173.25
  6. Step 6: Final answer
    x = 76,510.19

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These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.