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Finding the Third Proportional to 11,864.25 and 24,320.81

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Solution

The third proportional to 11,864.25 and 24,320.81 is: 49,855.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,864.25 : 24,320.81 = 24,320.81 : x
  2. Step 2: Convert to fraction form
    11,864.25/24,320.81 = 24,320.81/x
  3. Step 3: Cross multiply
    11,864.25x = 24,320.81 × 24,320.81
  4. Step 4: Simplify right side
    11,864.25x = 591,501,920.66
  5. Step 5: Solve for x
    x = 591,501,920.66/11,864.25
  6. Step 6: Final answer
    x = 49,855.82

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.