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Finding the Third Proportional to 22,864.78 and 34,247.81

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Solution

The third proportional to 22,864.78 and 34,247.81 is: 51,297.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,864.78 : 34,247.81 = 34,247.81 : x
  2. Step 2: Convert to fraction form
    22,864.78/34,247.81 = 34,247.81/x
  3. Step 3: Cross multiply
    22,864.78x = 34,247.81 × 34,247.81
  4. Step 4: Simplify right side
    22,864.78x = 1,172,912,661.04
  5. Step 5: Solve for x
    x = 1,172,912,661.04/22,864.78
  6. Step 6: Final answer
    x = 51,297.79

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.