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Finding the Third Proportional to 38,038 and 80,324

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Solution

The third proportional to 38,038 and 80,324 is: 169,618.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,038 : 80,324 = 80,324 : x
  2. Step 2: Convert to fraction form
    38,038/80,324 = 80,324/x
  3. Step 3: Cross multiply
    38,038x = 80,324 × 80,324
  4. Step 4: Simplify right side
    38,038x = 6,451,944,976
  5. Step 5: Solve for x
    x = 6,451,944,976/38,038
  6. Step 6: Final answer
    x = 169,618.41

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.