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Finding the Third Proportional to 38,348 and 82,864

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Solution

The third proportional to 38,348 and 82,864 is: 179,056.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,348 : 82,864 = 82,864 : x
  2. Step 2: Convert to fraction form
    38,348/82,864 = 82,864/x
  3. Step 3: Cross multiply
    38,348x = 82,864 × 82,864
  4. Step 4: Simplify right side
    38,348x = 6,866,442,496
  5. Step 5: Solve for x
    x = 6,866,442,496/38,348
  6. Step 6: Final answer
    x = 179,056.08

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.