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Finding the Third Proportional to 11,349 and 24,049.69

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Solution

The third proportional to 11,349 and 24,049.69 is: 50,963.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,349 : 24,049.69 = 24,049.69 : x
  2. Step 2: Convert to fraction form
    11,349/24,049.69 = 24,049.69/x
  3. Step 3: Cross multiply
    11,349x = 24,049.69 × 24,049.69
  4. Step 4: Simplify right side
    11,349x = 578,387,468.85
  5. Step 5: Solve for x
    x = 578,387,468.85/11,349
  6. Step 6: Final answer
    x = 50,963.74

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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.