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Finding the Third Proportional to 7,937.25 and 17,431.13

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Solution

The third proportional to 7,937.25 and 17,431.13 is: 38,280.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,937.25 : 17,431.13 = 17,431.13 : x
  2. Step 2: Convert to fraction form
    7,937.25/17,431.13 = 17,431.13/x
  3. Step 3: Cross multiply
    7,937.25x = 17,431.13 × 17,431.13
  4. Step 4: Simplify right side
    7,937.25x = 303,844,118.77
  5. Step 5: Solve for x
    x = 303,844,118.77/7,937.25
  6. Step 6: Final answer
    x = 38,280.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.