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Finding the Third Proportional to 10,183.13 and 22,176.38

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Solution

The third proportional to 10,183.13 and 22,176.38 is: 48,294.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,183.13 : 22,176.38 = 22,176.38 : x
  2. Step 2: Convert to fraction form
    10,183.13/22,176.38 = 22,176.38/x
  3. Step 3: Cross multiply
    10,183.13x = 22,176.38 × 22,176.38
  4. Step 4: Simplify right side
    10,183.13x = 491,791,608.14
  5. Step 5: Solve for x
    x = 491,791,608.14/10,183.13
  6. Step 6: Final answer
    x = 48,294.76

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.