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Finding the Third Proportional to 2,649 and 5,720

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Solution

The third proportional to 2,649 and 5,720 is: 12,351.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649 : 5,720 = 5,720 : x
  2. Step 2: Convert to fraction form
    2,649/5,720 = 5,720/x
  3. Step 3: Cross multiply
    2,649x = 5,720 × 5,720
  4. Step 4: Simplify right side
    2,649x = 32,718,400
  5. Step 5: Solve for x
    x = 32,718,400/2,649
  6. Step 6: Final answer
    x = 12,351.23

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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.