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Finding the Third Proportional to 33,644 and 52,243

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Solution

The third proportional to 33,644 and 52,243 is: 81,123.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,644 : 52,243 = 52,243 : x
  2. Step 2: Convert to fraction form
    33,644/52,243 = 52,243/x
  3. Step 3: Cross multiply
    33,644x = 52,243 × 52,243
  4. Step 4: Simplify right side
    33,644x = 2,729,331,049
  5. Step 5: Solve for x
    x = 2,729,331,049/33,644
  6. Step 6: Final answer
    x = 81,123.86

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.