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Finding the Third Proportional to 7,232.44 and 15,040.88

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Solution

The third proportional to 7,232.44 and 15,040.88 is: 31,279.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,232.44 : 15,040.88 = 15,040.88 : x
  2. Step 2: Convert to fraction form
    7,232.44/15,040.88 = 15,040.88/x
  3. Step 3: Cross multiply
    7,232.44x = 15,040.88 × 15,040.88
  4. Step 4: Simplify right side
    7,232.44x = 226,227,920.77
  5. Step 5: Solve for x
    x = 226,227,920.77/7,232.44
  6. Step 6: Final answer
    x = 31,279.62

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.