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Finding the Third Proportional to 17,414 and 38,284

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Solution

The third proportional to 17,414 and 38,284 is: 84,165.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,414 : 38,284 = 38,284 : x
  2. Step 2: Convert to fraction form
    17,414/38,284 = 38,284/x
  3. Step 3: Cross multiply
    17,414x = 38,284 × 38,284
  4. Step 4: Simplify right side
    17,414x = 1,465,664,656
  5. Step 5: Solve for x
    x = 1,465,664,656/17,414
  6. Step 6: Final answer
    x = 84,165.88

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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.