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Finding the Third Proportional to 33,102 and 49,086

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Solution

The third proportional to 33,102 and 49,086 is: 72,788.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,102 : 49,086 = 49,086 : x
  2. Step 2: Convert to fraction form
    33,102/49,086 = 49,086/x
  3. Step 3: Cross multiply
    33,102x = 49,086 × 49,086
  4. Step 4: Simplify right side
    33,102x = 2,409,435,396
  5. Step 5: Solve for x
    x = 2,409,435,396/33,102
  6. Step 6: Final answer
    x = 72,788.21

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.