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Finding the Third Proportional to 2,466 and 5,418

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Solution

The third proportional to 2,466 and 5,418 is: 11,903.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466 : 5,418 = 5,418 : x
  2. Step 2: Convert to fraction form
    2,466/5,418 = 5,418/x
  3. Step 3: Cross multiply
    2,466x = 5,418 × 5,418
  4. Step 4: Simplify right side
    2,466x = 29,354,724
  5. Step 5: Solve for x
    x = 29,354,724/2,466
  6. Step 6: Final answer
    x = 11,903.78

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.