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Finding the Third Proportional to 2,722.78 and 5,887.97

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Solution

The third proportional to 2,722.78 and 5,887.97 is: 12,732.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,722.78 : 5,887.97 = 5,887.97 : x
  2. Step 2: Convert to fraction form
    2,722.78/5,887.97 = 5,887.97/x
  3. Step 3: Cross multiply
    2,722.78x = 5,887.97 × 5,887.97
  4. Step 4: Simplify right side
    2,722.78x = 34,668,176.00
  5. Step 5: Solve for x
    x = 34,668,176.00/2,722.78
  6. Step 6: Final answer
    x = 12,732.63

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.