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Finding the Third Proportional to 2,424 and 2,649

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Solution

The third proportional to 2,424 and 2,649 is: 2,894.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,424 : 2,649 = 2,649 : x
  2. Step 2: Convert to fraction form
    2,424/2,649 = 2,649/x
  3. Step 3: Cross multiply
    2,424x = 2,649 × 2,649
  4. Step 4: Simplify right side
    2,424x = 7,017,201
  5. Step 5: Solve for x
    x = 7,017,201/2,424
  6. Step 6: Final answer
    x = 2,894.88

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.