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Finding the Third Proportional to 20,184.19 and 23,221.69

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Solution

The third proportional to 20,184.19 and 23,221.69 is: 26,716.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,184.19 : 23,221.69 = 23,221.69 : x
  2. Step 2: Convert to fraction form
    20,184.19/23,221.69 = 23,221.69/x
  3. Step 3: Cross multiply
    20,184.19x = 23,221.69 × 23,221.69
  4. Step 4: Simplify right side
    20,184.19x = 539,246,770.35
  5. Step 5: Solve for x
    x = 539,246,770.35/20,184.19
  6. Step 6: Final answer
    x = 26,716.30

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.