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Finding the Third Proportional to 38,826 and 83,192

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Solution

The third proportional to 38,826 and 83,192 is: 178,254.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,826 : 83,192 = 83,192 : x
  2. Step 2: Convert to fraction form
    38,826/83,192 = 83,192/x
  3. Step 3: Cross multiply
    38,826x = 83,192 × 83,192
  4. Step 4: Simplify right side
    38,826x = 6,920,908,864
  5. Step 5: Solve for x
    x = 6,920,908,864/38,826
  6. Step 6: Final answer
    x = 178,254.49

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.