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Finding the Third Proportional to 22,939.50 and 36,497.25

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Solution

The third proportional to 22,939.50 and 36,497.25 is: 58,067.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939.50 : 36,497.25 = 36,497.25 : x
  2. Step 2: Convert to fraction form
    22,939.50/36,497.25 = 36,497.25/x
  3. Step 3: Cross multiply
    22,939.50x = 36,497.25 × 36,497.25
  4. Step 4: Simplify right side
    22,939.50x = 1,332,049,257.56
  5. Step 5: Solve for x
    x = 1,332,049,257.56/22,939.50
  6. Step 6: Final answer
    x = 58,067.93

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.