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Finding the Third Proportional to 1,890.84 and 3,832.95

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Solution

The third proportional to 1,890.84 and 3,832.95 is: 7,769.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,890.84 : 3,832.95 = 3,832.95 : x
  2. Step 2: Convert to fraction form
    1,890.84/3,832.95 = 3,832.95/x
  3. Step 3: Cross multiply
    1,890.84x = 3,832.95 × 3,832.95
  4. Step 4: Simplify right side
    1,890.84x = 14,691,469.77
  5. Step 5: Solve for x
    x = 14,691,469.77/1,890.84
  6. Step 6: Final answer
    x = 7,769.80

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.