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Finding the Third Proportional to 15,374 and 33,214

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Solution

The third proportional to 15,374 and 33,214 is: 71,755.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,374 : 33,214 = 33,214 : x
  2. Step 2: Convert to fraction form
    15,374/33,214 = 33,214/x
  3. Step 3: Cross multiply
    15,374x = 33,214 × 33,214
  4. Step 4: Simplify right side
    15,374x = 1,103,169,796
  5. Step 5: Solve for x
    x = 1,103,169,796/15,374
  6. Step 6: Final answer
    x = 71,755.55

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.