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Finding the Third Proportional to 38,382 and 82,596

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Solution

The third proportional to 38,382 and 82,596 is: 177,742.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,382 : 82,596 = 82,596 : x
  2. Step 2: Convert to fraction form
    38,382/82,596 = 82,596/x
  3. Step 3: Cross multiply
    38,382x = 82,596 × 82,596
  4. Step 4: Simplify right side
    38,382x = 6,822,099,216
  5. Step 5: Solve for x
    x = 6,822,099,216/38,382
  6. Step 6: Final answer
    x = 177,742.15

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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.