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Finding the Third Proportional to 38,470 and 80,006

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Solution

The third proportional to 38,470 and 80,006 is: 166,388.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470 : 80,006 = 80,006 : x
  2. Step 2: Convert to fraction form
    38,470/80,006 = 80,006/x
  3. Step 3: Cross multiply
    38,470x = 80,006 × 80,006
  4. Step 4: Simplify right side
    38,470x = 6,400,960,036
  5. Step 5: Solve for x
    x = 6,400,960,036/38,470
  6. Step 6: Final answer
    x = 166,388.36

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.