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Finding the Third Proportional to 42,844 and 67,001

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Solution

The third proportional to 42,844 and 67,001 is: 104,778.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,844 : 67,001 = 67,001 : x
  2. Step 2: Convert to fraction form
    42,844/67,001 = 67,001/x
  3. Step 3: Cross multiply
    42,844x = 67,001 × 67,001
  4. Step 4: Simplify right side
    42,844x = 4,489,134,001
  5. Step 5: Solve for x
    x = 4,489,134,001/42,844
  6. Step 6: Final answer
    x = 104,778.59

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.