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Finding the Third Proportional to 22,576 and 48,919

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Solution

The third proportional to 22,576 and 48,919 is: 106,000.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,576 : 48,919 = 48,919 : x
  2. Step 2: Convert to fraction form
    22,576/48,919 = 48,919/x
  3. Step 3: Cross multiply
    22,576x = 48,919 × 48,919
  4. Step 4: Simplify right side
    22,576x = 2,393,068,561
  5. Step 5: Solve for x
    x = 2,393,068,561/22,576
  6. Step 6: Final answer
    x = 106,000.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.