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Finding the Third Proportional to 2,728.69 and 6,512.91

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Solution

The third proportional to 2,728.69 and 6,512.91 is: 15,545.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,728.69 : 6,512.91 = 6,512.91 : x
  2. Step 2: Convert to fraction form
    2,728.69/6,512.91 = 6,512.91/x
  3. Step 3: Cross multiply
    2,728.69x = 6,512.91 × 6,512.91
  4. Step 4: Simplify right side
    2,728.69x = 42,417,947.82
  5. Step 5: Solve for x
    x = 42,417,947.82/2,728.69
  6. Step 6: Final answer
    x = 15,545.18

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Why These Related Problems?

These problems maintain the same ratio (2.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.