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Finding the Third Proportional to 1,474.06 and 2,002.97

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Solution

The third proportional to 1,474.06 and 2,002.97 is: 2,721.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,474.06 : 2,002.97 = 2,002.97 : x
  2. Step 2: Convert to fraction form
    1,474.06/2,002.97 = 2,002.97/x
  3. Step 3: Cross multiply
    1,474.06x = 2,002.97 × 2,002.97
  4. Step 4: Simplify right side
    1,474.06x = 4,011,883.81
  5. Step 5: Solve for x
    x = 4,011,883.81/1,474.06
  6. Step 6: Final answer
    x = 2,721.65

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.