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Finding the Third Proportional to 38,910 and 83,001

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Solution

The third proportional to 38,910 and 83,001 is: 177,053.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,910 : 83,001 = 83,001 : x
  2. Step 2: Convert to fraction form
    38,910/83,001 = 83,001/x
  3. Step 3: Cross multiply
    38,910x = 83,001 × 83,001
  4. Step 4: Simplify right side
    38,910x = 6,889,166,001
  5. Step 5: Solve for x
    x = 6,889,166,001/38,910
  6. Step 6: Final answer
    x = 177,053.87

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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.