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Finding the Third Proportional to 1,473.47 and 2,182.92

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Solution

The third proportional to 1,473.47 and 2,182.92 is: 3,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,473.47 : 2,182.92 = 2,182.92 : x
  2. Step 2: Convert to fraction form
    1,473.47/2,182.92 = 2,182.92/x
  3. Step 3: Cross multiply
    1,473.47x = 2,182.92 × 2,182.92
  4. Step 4: Simplify right side
    1,473.47x = 4,765,147.91
  5. Step 5: Solve for x
    x = 4,765,147.91/1,473.47
  6. Step 6: Final answer
    x = 3,233.97

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.