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Finding the Third Proportional to 15,531.12 and 33,138.18

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Solution

The third proportional to 15,531.12 and 33,138.18 is: 70,705.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,531.12 : 33,138.18 = 33,138.18 : x
  2. Step 2: Convert to fraction form
    15,531.12/33,138.18 = 33,138.18/x
  3. Step 3: Cross multiply
    15,531.12x = 33,138.18 × 33,138.18
  4. Step 4: Simplify right side
    15,531.12x = 1,098,138,694.11
  5. Step 5: Solve for x
    x = 1,098,138,694.11/15,531.12
  6. Step 6: Final answer
    x = 70,705.71

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.