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Finding the Third Proportional to 15,191 and 33,151

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Solution

The third proportional to 15,191 and 33,151 is: 72,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,191 : 33,151 = 33,151 : x
  2. Step 2: Convert to fraction form
    15,191/33,151 = 33,151/x
  3. Step 3: Cross multiply
    15,191x = 33,151 × 33,151
  4. Step 4: Simplify right side
    15,191x = 1,098,988,801
  5. Step 5: Solve for x
    x = 1,098,988,801/15,191
  6. Step 6: Final answer
    x = 72,344.73

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.