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Finding the Third Proportional to 3,680 and 5,649

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Solution

The third proportional to 3,680 and 5,649 is: 8,671.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680 : 5,649 = 5,649 : x
  2. Step 2: Convert to fraction form
    3,680/5,649 = 5,649/x
  3. Step 3: Cross multiply
    3,680x = 5,649 × 5,649
  4. Step 4: Simplify right side
    3,680x = 31,911,201
  5. Step 5: Solve for x
    x = 31,911,201/3,680
  6. Step 6: Final answer
    x = 8,671.52

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.