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Finding the Third Proportional to 10,909.69 and 23,115.38

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Solution

The third proportional to 10,909.69 and 23,115.38 is: 48,976.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,909.69 : 23,115.38 = 23,115.38 : x
  2. Step 2: Convert to fraction form
    10,909.69/23,115.38 = 23,115.38/x
  3. Step 3: Cross multiply
    10,909.69x = 23,115.38 × 23,115.38
  4. Step 4: Simplify right side
    10,909.69x = 534,320,561.39
  5. Step 5: Solve for x
    x = 534,320,561.39/10,909.69
  6. Step 6: Final answer
    x = 48,976.71

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.