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Finding the Third Proportional to 3,782.44 and 8,294.06

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Solution

The third proportional to 3,782.44 and 8,294.06 is: 18,187.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.44 : 8,294.06 = 8,294.06 : x
  2. Step 2: Convert to fraction form
    3,782.44/8,294.06 = 8,294.06/x
  3. Step 3: Cross multiply
    3,782.44x = 8,294.06 × 8,294.06
  4. Step 4: Simplify right side
    3,782.44x = 68,791,472.75
  5. Step 5: Solve for x
    x = 68,791,472.75/3,782.44
  6. Step 6: Final answer
    x = 18,187.07

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.