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Finding the Third Proportional to 15,138.14 and 30,891.38

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Solution

The third proportional to 15,138.14 and 30,891.38 is: 63,037.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,138.14 : 30,891.38 = 30,891.38 : x
  2. Step 2: Convert to fraction form
    15,138.14/30,891.38 = 30,891.38/x
  3. Step 3: Cross multiply
    15,138.14x = 30,891.38 × 30,891.38
  4. Step 4: Simplify right side
    15,138.14x = 954,277,049.39
  5. Step 5: Solve for x
    x = 954,277,049.39/15,138.14
  6. Step 6: Final answer
    x = 63,037.93

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.