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Finding the Third Proportional to 3,649 and 5,298

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Solution

The third proportional to 3,649 and 5,298 is: 7,692.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,649 : 5,298 = 5,298 : x
  2. Step 2: Convert to fraction form
    3,649/5,298 = 5,298/x
  3. Step 3: Cross multiply
    3,649x = 5,298 × 5,298
  4. Step 4: Simplify right side
    3,649x = 28,068,804
  5. Step 5: Solve for x
    x = 28,068,804/3,649
  6. Step 6: Final answer
    x = 7,692.19

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.