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Finding the Third Proportional to 11,270.81 and 24,049.69

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Solution

The third proportional to 11,270.81 and 24,049.69 is: 51,317.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,270.81 : 24,049.69 = 24,049.69 : x
  2. Step 2: Convert to fraction form
    11,270.81/24,049.69 = 24,049.69/x
  3. Step 3: Cross multiply
    11,270.81x = 24,049.69 × 24,049.69
  4. Step 4: Simplify right side
    11,270.81x = 578,387,468.85
  5. Step 5: Solve for x
    x = 578,387,468.85/11,270.81
  6. Step 6: Final answer
    x = 51,317.28

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.