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Finding the Third Proportional to 30,860 and 66,394

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Solution

The third proportional to 30,860 and 66,394 is: 142,843.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,860 : 66,394 = 66,394 : x
  2. Step 2: Convert to fraction form
    30,860/66,394 = 66,394/x
  3. Step 3: Cross multiply
    30,860x = 66,394 × 66,394
  4. Step 4: Simplify right side
    30,860x = 4,408,163,236
  5. Step 5: Solve for x
    x = 4,408,163,236/30,860
  6. Step 6: Final answer
    x = 142,843.92

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.