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Finding the Third Proportional to 1,782.38 and 3,832.88

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Solution

The third proportional to 1,782.38 and 3,832.88 is: 8,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.38 : 3,832.88 = 3,832.88 : x
  2. Step 2: Convert to fraction form
    1,782.38/3,832.88 = 3,832.88/x
  3. Step 3: Cross multiply
    1,782.38x = 3,832.88 × 3,832.88
  4. Step 4: Simplify right side
    1,782.38x = 14,690,930.77
  5. Step 5: Solve for x
    x = 14,690,930.77/1,782.38
  6. Step 6: Final answer
    x = 8,242.33

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.