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Finding the Third Proportional to 38,800 and 82,688

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Solution

The third proportional to 38,800 and 82,688 is: 176,219.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,800 : 82,688 = 82,688 : x
  2. Step 2: Convert to fraction form
    38,800/82,688 = 82,688/x
  3. Step 3: Cross multiply
    38,800x = 82,688 × 82,688
  4. Step 4: Simplify right side
    38,800x = 6,837,305,344
  5. Step 5: Solve for x
    x = 6,837,305,344/38,800
  6. Step 6: Final answer
    x = 176,219.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.