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Finding the Third Proportional to 27,982 and 43,392

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Solution

The third proportional to 27,982 and 43,392 is: 67,288.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,982 : 43,392 = 43,392 : x
  2. Step 2: Convert to fraction form
    27,982/43,392 = 43,392/x
  3. Step 3: Cross multiply
    27,982x = 43,392 × 43,392
  4. Step 4: Simplify right side
    27,982x = 1,882,865,664
  5. Step 5: Solve for x
    x = 1,882,865,664/27,982
  6. Step 6: Final answer
    x = 67,288.46

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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.