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Finding the Third Proportional to 2,663.72 and 5,862.38

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Solution

The third proportional to 2,663.72 and 5,862.38 is: 12,902.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,663.72 : 5,862.38 = 5,862.38 : x
  2. Step 2: Convert to fraction form
    2,663.72/5,862.38 = 5,862.38/x
  3. Step 3: Cross multiply
    2,663.72x = 5,862.38 × 5,862.38
  4. Step 4: Simplify right side
    2,663.72x = 34,367,440.64
  5. Step 5: Solve for x
    x = 34,367,440.64/2,663.72
  6. Step 6: Final answer
    x = 12,902.05

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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.