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Finding the Third Proportional to 33,086 and 48,657

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Solution

The third proportional to 33,086 and 48,657 is: 71,556.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,086 : 48,657 = 48,657 : x
  2. Step 2: Convert to fraction form
    33,086/48,657 = 48,657/x
  3. Step 3: Cross multiply
    33,086x = 48,657 × 48,657
  4. Step 4: Simplify right side
    33,086x = 2,367,503,649
  5. Step 5: Solve for x
    x = 2,367,503,649/33,086
  6. Step 6: Final answer
    x = 71,556.06

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.