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Finding the Third Proportional to 1,462.43 and 2,247.96

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Solution

The third proportional to 1,462.43 and 2,247.96 is: 3,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,462.43 : 2,247.96 = 2,247.96 : x
  2. Step 2: Convert to fraction form
    1,462.43/2,247.96 = 2,247.96/x
  3. Step 3: Cross multiply
    1,462.43x = 2,247.96 × 2,247.96
  4. Step 4: Simplify right side
    1,462.43x = 5,053,328.38
  5. Step 5: Solve for x
    x = 5,053,328.38/1,462.43
  6. Step 6: Final answer
    x = 3,455.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.