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Finding the Third Proportional to 2,464 and 3,446

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Solution

The third proportional to 2,464 and 3,446 is: 4,819.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,464 : 3,446 = 3,446 : x
  2. Step 2: Convert to fraction form
    2,464/3,446 = 3,446/x
  3. Step 3: Cross multiply
    2,464x = 3,446 × 3,446
  4. Step 4: Simplify right side
    2,464x = 11,874,916
  5. Step 5: Solve for x
    x = 11,874,916/2,464
  6. Step 6: Final answer
    x = 4,819.37

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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.