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Finding the Third Proportional to 33,080 and 49,924

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Solution

The third proportional to 33,080 and 49,924 is: 75,344.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,080 : 49,924 = 49,924 : x
  2. Step 2: Convert to fraction form
    33,080/49,924 = 49,924/x
  3. Step 3: Cross multiply
    33,080x = 49,924 × 49,924
  4. Step 4: Simplify right side
    33,080x = 2,492,405,776
  5. Step 5: Solve for x
    x = 2,492,405,776/33,080
  6. Step 6: Final answer
    x = 75,344.79

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.