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Finding the Third Proportional to 38,741 and 84,001

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Solution

The third proportional to 38,741 and 84,001 is: 182,136.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,741 : 84,001 = 84,001 : x
  2. Step 2: Convert to fraction form
    38,741/84,001 = 84,001/x
  3. Step 3: Cross multiply
    38,741x = 84,001 × 84,001
  4. Step 4: Simplify right side
    38,741x = 7,056,168,001
  5. Step 5: Solve for x
    x = 7,056,168,001/38,741
  6. Step 6: Final answer
    x = 182,136.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.