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Finding the Third Proportional to 2,229 and 4,691

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Solution

The third proportional to 2,229 and 4,691 is: 9,872.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,229 : 4,691 = 4,691 : x
  2. Step 2: Convert to fraction form
    2,229/4,691 = 4,691/x
  3. Step 3: Cross multiply
    2,229x = 4,691 × 4,691
  4. Step 4: Simplify right side
    2,229x = 22,005,481
  5. Step 5: Solve for x
    x = 22,005,481/2,229
  6. Step 6: Final answer
    x = 9,872.36

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.