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Finding the Third Proportional to 2,197.97 and 3,150.14

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Solution

The third proportional to 2,197.97 and 3,150.14 is: 4,514.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.97 : 3,150.14 = 3,150.14 : x
  2. Step 2: Convert to fraction form
    2,197.97/3,150.14 = 3,150.14/x
  3. Step 3: Cross multiply
    2,197.97x = 3,150.14 × 3,150.14
  4. Step 4: Simplify right side
    2,197.97x = 9,923,385.96
  5. Step 5: Solve for x
    x = 9,923,385.96/2,197.97
  6. Step 6: Final answer
    x = 4,514.80

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.