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Finding the Third Proportional to 33,994 and 63,704

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Solution

The third proportional to 33,994 and 63,704 is: 119,379.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,994 : 63,704 = 63,704 : x
  2. Step 2: Convert to fraction form
    33,994/63,704 = 63,704/x
  3. Step 3: Cross multiply
    33,994x = 63,704 × 63,704
  4. Step 4: Simplify right side
    33,994x = 4,058,199,616
  5. Step 5: Solve for x
    x = 4,058,199,616/33,994
  6. Step 6: Final answer
    x = 119,379.88

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.