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Finding the Third Proportional to 15,351 and 33,132

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Solution

The third proportional to 15,351 and 33,132 is: 71,508.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,351 : 33,132 = 33,132 : x
  2. Step 2: Convert to fraction form
    15,351/33,132 = 33,132/x
  3. Step 3: Cross multiply
    15,351x = 33,132 × 33,132
  4. Step 4: Simplify right side
    15,351x = 1,097,729,424
  5. Step 5: Solve for x
    x = 1,097,729,424/15,351
  6. Step 6: Final answer
    x = 71,508.66

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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.