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Finding the Third Proportional to 7,234.31 and 15,422.91

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Solution

The third proportional to 7,234.31 and 15,422.91 is: 32,880.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,234.31 : 15,422.91 = 15,422.91 : x
  2. Step 2: Convert to fraction form
    7,234.31/15,422.91 = 15,422.91/x
  3. Step 3: Cross multiply
    7,234.31x = 15,422.91 × 15,422.91
  4. Step 4: Simplify right side
    7,234.31x = 237,866,037.20
  5. Step 5: Solve for x
    x = 237,866,037.20/7,234.31
  6. Step 6: Final answer
    x = 32,880.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.