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Finding the Third Proportional to 5,295.66 and 11,649.38

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Solution

The third proportional to 5,295.66 and 11,649.38 is: 25,626.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,295.66 : 11,649.38 = 11,649.38 : x
  2. Step 2: Convert to fraction form
    5,295.66/11,649.38 = 11,649.38/x
  3. Step 3: Cross multiply
    5,295.66x = 11,649.38 × 11,649.38
  4. Step 4: Simplify right side
    5,295.66x = 135,707,937.89
  5. Step 5: Solve for x
    x = 135,707,937.89/5,295.66
  6. Step 6: Final answer
    x = 25,626.27

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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.