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Finding the Third Proportional to 13,375.97 and 20,740.22

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Solution

The third proportional to 13,375.97 and 20,740.22 is: 32,158.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,375.97 : 20,740.22 = 20,740.22 : x
  2. Step 2: Convert to fraction form
    13,375.97/20,740.22 = 20,740.22/x
  3. Step 3: Cross multiply
    13,375.97x = 20,740.22 × 20,740.22
  4. Step 4: Simplify right side
    13,375.97x = 430,156,673.80
  5. Step 5: Solve for x
    x = 430,156,673.80/13,375.97
  6. Step 6: Final answer
    x = 32,158.92

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.