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Finding the Third Proportional to 19,979 and 33,041

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Solution

The third proportional to 19,979 and 33,041 is: 54,642.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,979 : 33,041 = 33,041 : x
  2. Step 2: Convert to fraction form
    19,979/33,041 = 33,041/x
  3. Step 3: Cross multiply
    19,979x = 33,041 × 33,041
  4. Step 4: Simplify right side
    19,979x = 1,091,707,681
  5. Step 5: Solve for x
    x = 1,091,707,681/19,979
  6. Step 6: Final answer
    x = 54,642.76

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.