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Finding the Third Proportional to 22,274 and 52,579

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Solution

The third proportional to 22,274 and 52,579 is: 124,115.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,274 : 52,579 = 52,579 : x
  2. Step 2: Convert to fraction form
    22,274/52,579 = 52,579/x
  3. Step 3: Cross multiply
    22,274x = 52,579 × 52,579
  4. Step 4: Simplify right side
    22,274x = 2,764,551,241
  5. Step 5: Solve for x
    x = 2,764,551,241/22,274
  6. Step 6: Final answer
    x = 124,115.62

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.