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Finding the Third Proportional to 3,669 and 5,229

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Solution

The third proportional to 3,669 and 5,229 is: 7,452.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,669 : 5,229 = 5,229 : x
  2. Step 2: Convert to fraction form
    3,669/5,229 = 5,229/x
  3. Step 3: Cross multiply
    3,669x = 5,229 × 5,229
  4. Step 4: Simplify right side
    3,669x = 27,342,441
  5. Step 5: Solve for x
    x = 27,342,441/3,669
  6. Step 6: Final answer
    x = 7,452.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.