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Finding the Third Proportional to 2,234.46 and 3,287.14

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Solution

The third proportional to 2,234.46 and 3,287.14 is: 4,835.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,234.46 : 3,287.14 = 3,287.14 : x
  2. Step 2: Convert to fraction form
    2,234.46/3,287.14 = 3,287.14/x
  3. Step 3: Cross multiply
    2,234.46x = 3,287.14 × 3,287.14
  4. Step 4: Simplify right side
    2,234.46x = 10,805,319.17
  5. Step 5: Solve for x
    x = 10,805,319.17/2,234.46
  6. Step 6: Final answer
    x = 4,835.76

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.