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Finding the Third Proportional to 7,936.88 and 17,440.31

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Solution

The third proportional to 7,936.88 and 17,440.31 is: 38,322.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,936.88 : 17,440.31 = 17,440.31 : x
  2. Step 2: Convert to fraction form
    7,936.88/17,440.31 = 17,440.31/x
  3. Step 3: Cross multiply
    7,936.88x = 17,440.31 × 17,440.31
  4. Step 4: Simplify right side
    7,936.88x = 304,164,500.10
  5. Step 5: Solve for x
    x = 304,164,500.10/7,936.88
  6. Step 6: Final answer
    x = 38,322.95

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