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Finding the Third Proportional to 22,576 and 34,314

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Solution

The third proportional to 22,576 and 34,314 is: 52,154.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576 : 34,314 = 34,314 : x
  2. Step 2: Convert to fraction form
    22,576/34,314 = 34,314/x
  3. Step 3: Cross multiply
    22,576x = 34,314 × 34,314
  4. Step 4: Simplify right side
    22,576x = 1,177,450,596
  5. Step 5: Solve for x
    x = 1,177,450,596/22,576
  6. Step 6: Final answer
    x = 52,154.97

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.