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Finding the Third Proportional to 2,409 and 5,167

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Solution

The third proportional to 2,409 and 5,167 is: 11,082.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,409 : 5,167 = 5,167 : x
  2. Step 2: Convert to fraction form
    2,409/5,167 = 5,167/x
  3. Step 3: Cross multiply
    2,409x = 5,167 × 5,167
  4. Step 4: Simplify right side
    2,409x = 26,697,889
  5. Step 5: Solve for x
    x = 26,697,889/2,409
  6. Step 6: Final answer
    x = 11,082.56

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.