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Finding the Third Proportional to 38,035 and 80,001

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Solution

The third proportional to 38,035 and 80,001 is: 168,270.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,035 : 80,001 = 80,001 : x
  2. Step 2: Convert to fraction form
    38,035/80,001 = 80,001/x
  3. Step 3: Cross multiply
    38,035x = 80,001 × 80,001
  4. Step 4: Simplify right side
    38,035x = 6,400,160,001
  5. Step 5: Solve for x
    x = 6,400,160,001/38,035
  6. Step 6: Final answer
    x = 168,270.28

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.