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Finding the Third Proportional to 33,766 and 48,637

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Solution

The third proportional to 33,766 and 48,637 is: 70,057.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,766 : 48,637 = 48,637 : x
  2. Step 2: Convert to fraction form
    33,766/48,637 = 48,637/x
  3. Step 3: Cross multiply
    33,766x = 48,637 × 48,637
  4. Step 4: Simplify right side
    33,766x = 2,365,557,769
  5. Step 5: Solve for x
    x = 2,365,557,769/33,766
  6. Step 6: Final answer
    x = 70,057.39

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.