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Finding the Third Proportional to 2,466 and 3,454

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Solution

The third proportional to 2,466 and 3,454 is: 4,837.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,466 : 3,454 = 3,454 : x
  2. Step 2: Convert to fraction form
    2,466/3,454 = 3,454/x
  3. Step 3: Cross multiply
    2,466x = 3,454 × 3,454
  4. Step 4: Simplify right side
    2,466x = 11,930,116
  5. Step 5: Solve for x
    x = 11,930,116/2,466
  6. Step 6: Final answer
    x = 4,837.84

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.