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Finding the Third Proportional to 12,542.15 and 19,375.45

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Solution

The third proportional to 12,542.15 and 19,375.45 is: 29,931.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,542.15 : 19,375.45 = 19,375.45 : x
  2. Step 2: Convert to fraction form
    12,542.15/19,375.45 = 19,375.45/x
  3. Step 3: Cross multiply
    12,542.15x = 19,375.45 × 19,375.45
  4. Step 4: Simplify right side
    12,542.15x = 375,408,183.80
  5. Step 5: Solve for x
    x = 375,408,183.80/12,542.15
  6. Step 6: Final answer
    x = 29,931.73

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.