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Finding the Third Proportional to 20,206.69 and 43,161.19

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Solution

The third proportional to 20,206.69 and 43,161.19 is: 92,191.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,206.69 : 43,161.19 = 43,161.19 : x
  2. Step 2: Convert to fraction form
    20,206.69/43,161.19 = 43,161.19/x
  3. Step 3: Cross multiply
    20,206.69x = 43,161.19 × 43,161.19
  4. Step 4: Simplify right side
    20,206.69x = 1,862,888,106.41
  5. Step 5: Solve for x
    x = 1,862,888,106.41/20,206.69
  6. Step 6: Final answer
    x = 92,191.66

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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.