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Finding the Third Proportional to 10,927 and 24,086

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Solution

The third proportional to 10,927 and 24,086 is: 53,091.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,927 : 24,086 = 24,086 : x
  2. Step 2: Convert to fraction form
    10,927/24,086 = 24,086/x
  3. Step 3: Cross multiply
    10,927x = 24,086 × 24,086
  4. Step 4: Simplify right side
    10,927x = 580,135,396
  5. Step 5: Solve for x
    x = 580,135,396/10,927
  6. Step 6: Final answer
    x = 53,091.92

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.