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Finding the Third Proportional to 38,592 and 81,930

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Solution

The third proportional to 38,592 and 81,930 is: 173,935.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,592 : 81,930 = 81,930 : x
  2. Step 2: Convert to fraction form
    38,592/81,930 = 81,930/x
  3. Step 3: Cross multiply
    38,592x = 81,930 × 81,930
  4. Step 4: Simplify right side
    38,592x = 6,712,524,900
  5. Step 5: Solve for x
    x = 6,712,524,900/38,592
  6. Step 6: Final answer
    x = 173,935.66

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.