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Finding the Third Proportional to 4,181 and 4,751

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Solution

The third proportional to 4,181 and 4,751 is: 5,398.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,181 : 4,751 = 4,751 : x
  2. Step 2: Convert to fraction form
    4,181/4,751 = 4,751/x
  3. Step 3: Cross multiply
    4,181x = 4,751 × 4,751
  4. Step 4: Simplify right side
    4,181x = 22,572,001
  5. Step 5: Solve for x
    x = 22,572,001/4,181
  6. Step 6: Final answer
    x = 5,398.71

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.