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Finding the Third Proportional to 6,649 and 9,742

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Solution

The third proportional to 6,649 and 9,742 is: 14,273.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649 : 9,742 = 9,742 : x
  2. Step 2: Convert to fraction form
    6,649/9,742 = 9,742/x
  3. Step 3: Cross multiply
    6,649x = 9,742 × 9,742
  4. Step 4: Simplify right side
    6,649x = 94,906,564
  5. Step 5: Solve for x
    x = 94,906,564/6,649
  6. Step 6: Final answer
    x = 14,273.81

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.