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Finding the Third Proportional to 2,649 and 3,717

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Solution

The third proportional to 2,649 and 3,717 is: 5,215.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649 : 3,717 = 3,717 : x
  2. Step 2: Convert to fraction form
    2,649/3,717 = 3,717/x
  3. Step 3: Cross multiply
    2,649x = 3,717 × 3,717
  4. Step 4: Simplify right side
    2,649x = 13,816,089
  5. Step 5: Solve for x
    x = 13,816,089/2,649
  6. Step 6: Final answer
    x = 5,215.59

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.