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Finding the Third Proportional to 2,265 and 3,398

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Solution

The third proportional to 2,265 and 3,398 is: 5,097.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,265 : 3,398 = 3,398 : x
  2. Step 2: Convert to fraction form
    2,265/3,398 = 3,398/x
  3. Step 3: Cross multiply
    2,265x = 3,398 × 3,398
  4. Step 4: Simplify right side
    2,265x = 11,546,404
  5. Step 5: Solve for x
    x = 11,546,404/2,265
  6. Step 6: Final answer
    x = 5,097.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.