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Finding the Third Proportional to 30,864 and 66,192

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Solution

The third proportional to 30,864 and 66,192 is: 141,957.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,864 : 66,192 = 66,192 : x
  2. Step 2: Convert to fraction form
    30,864/66,192 = 66,192/x
  3. Step 3: Cross multiply
    30,864x = 66,192 × 66,192
  4. Step 4: Simplify right side
    30,864x = 4,381,380,864
  5. Step 5: Solve for x
    x = 4,381,380,864/30,864
  6. Step 6: Final answer
    x = 141,957.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.