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Finding the Third Proportional to 38,270.36 and 81,105.88

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Solution

The third proportional to 38,270.36 and 81,105.88 is: 171,886.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,270.36 : 81,105.88 = 81,105.88 : x
  2. Step 2: Convert to fraction form
    38,270.36/81,105.88 = 81,105.88/x
  3. Step 3: Cross multiply
    38,270.36x = 81,105.88 × 81,105.88
  4. Step 4: Simplify right side
    38,270.36x = 6,578,163,355.54
  5. Step 5: Solve for x
    x = 6,578,163,355.54/38,270.36
  6. Step 6: Final answer
    x = 171,886.61

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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.