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Finding the Third Proportional to 38,865 and 57,021

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Solution

The third proportional to 38,865 and 57,021 is: 83,658.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,865 : 57,021 = 57,021 : x
  2. Step 2: Convert to fraction form
    38,865/57,021 = 57,021/x
  3. Step 3: Cross multiply
    38,865x = 57,021 × 57,021
  4. Step 4: Simplify right side
    38,865x = 3,251,394,441
  5. Step 5: Solve for x
    x = 3,251,394,441/38,865
  6. Step 6: Final answer
    x = 83,658.68

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.