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Finding the Third Proportional to 1,306.97 and 2,874.66

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Solution

The third proportional to 1,306.97 and 2,874.66 is: 6,322.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,306.97 : 2,874.66 = 2,874.66 : x
  2. Step 2: Convert to fraction form
    1,306.97/2,874.66 = 2,874.66/x
  3. Step 3: Cross multiply
    1,306.97x = 2,874.66 × 2,874.66
  4. Step 4: Simplify right side
    1,306.97x = 8,263,648.56
  5. Step 5: Solve for x
    x = 8,263,648.56/1,306.97
  6. Step 6: Final answer
    x = 6,322.76

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.