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Finding the Third Proportional to 15,147.56 and 31,049.44

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Solution

The third proportional to 15,147.56 and 31,049.44 is: 63,645.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,147.56 : 31,049.44 = 31,049.44 : x
  2. Step 2: Convert to fraction form
    15,147.56/31,049.44 = 31,049.44/x
  3. Step 3: Cross multiply
    15,147.56x = 31,049.44 × 31,049.44
  4. Step 4: Simplify right side
    15,147.56x = 964,067,569.07
  5. Step 5: Solve for x
    x = 964,067,569.07/15,147.56
  6. Step 6: Final answer
    x = 63,645.06

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.