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Finding the Third Proportional to 38,246 and 82,348

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Solution

The third proportional to 38,246 and 82,348 is: 177,304.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,246 : 82,348 = 82,348 : x
  2. Step 2: Convert to fraction form
    38,246/82,348 = 82,348/x
  3. Step 3: Cross multiply
    38,246x = 82,348 × 82,348
  4. Step 4: Simplify right side
    38,246x = 6,781,193,104
  5. Step 5: Solve for x
    x = 6,781,193,104/38,246
  6. Step 6: Final answer
    x = 177,304.64

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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.