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Finding the Third Proportional to 38,097 and 81,864

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Solution

The third proportional to 38,097 and 81,864 is: 175,911.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,097 : 81,864 = 81,864 : x
  2. Step 2: Convert to fraction form
    38,097/81,864 = 81,864/x
  3. Step 3: Cross multiply
    38,097x = 81,864 × 81,864
  4. Step 4: Simplify right side
    38,097x = 6,701,714,496
  5. Step 5: Solve for x
    x = 6,701,714,496/38,097
  6. Step 6: Final answer
    x = 175,911.87

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.