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Finding the Third Proportional to 22,576 and 34,344

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Solution

The third proportional to 22,576 and 34,344 is: 52,246.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576 : 34,344 = 34,344 : x
  2. Step 2: Convert to fraction form
    22,576/34,344 = 34,344/x
  3. Step 3: Cross multiply
    22,576x = 34,344 × 34,344
  4. Step 4: Simplify right side
    22,576x = 1,179,510,336
  5. Step 5: Solve for x
    x = 1,179,510,336/22,576
  6. Step 6: Final answer
    x = 52,246.21

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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.