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Finding the Third Proportional to 21,520.69 and 26,380.69

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Solution

The third proportional to 21,520.69 and 26,380.69 is: 32,338.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,520.69 : 26,380.69 = 26,380.69 : x
  2. Step 2: Convert to fraction form
    21,520.69/26,380.69 = 26,380.69/x
  3. Step 3: Cross multiply
    21,520.69x = 26,380.69 × 26,380.69
  4. Step 4: Simplify right side
    21,520.69x = 695,940,672.97
  5. Step 5: Solve for x
    x = 695,940,672.97/21,520.69
  6. Step 6: Final answer
    x = 32,338.22

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Why These Related Problems?

These problems maintain the same ratio (1.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.