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Finding the Third Proportional to 20,197.13 and 43,143.38

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Solution

The third proportional to 20,197.13 and 43,143.38 is: 92,159.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.13 : 43,143.38 = 43,143.38 : x
  2. Step 2: Convert to fraction form
    20,197.13/43,143.38 = 43,143.38/x
  3. Step 3: Cross multiply
    20,197.13x = 43,143.38 × 43,143.38
  4. Step 4: Simplify right side
    20,197.13x = 1,861,350,806.39
  5. Step 5: Solve for x
    x = 1,861,350,806.39/20,197.13
  6. Step 6: Final answer
    x = 92,159.20

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.