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Finding the Third Proportional to 2,414 and 3,229

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Solution

The third proportional to 2,414 and 3,229 is: 4,319.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,414 : 3,229 = 3,229 : x
  2. Step 2: Convert to fraction form
    2,414/3,229 = 3,229/x
  3. Step 3: Cross multiply
    2,414x = 3,229 × 3,229
  4. Step 4: Simplify right side
    2,414x = 10,426,441
  5. Step 5: Solve for x
    x = 10,426,441/2,414
  6. Step 6: Final answer
    x = 4,319.16

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.