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Finding the Third Proportional to 33,812 and 63,394

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Solution

The third proportional to 33,812 and 63,394 is: 118,857.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,812 : 63,394 = 63,394 : x
  2. Step 2: Convert to fraction form
    33,812/63,394 = 63,394/x
  3. Step 3: Cross multiply
    33,812x = 63,394 × 63,394
  4. Step 4: Simplify right side
    33,812x = 4,018,799,236
  5. Step 5: Solve for x
    x = 4,018,799,236/33,812
  6. Step 6: Final answer
    x = 118,857.19

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.