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Finding the Third Proportional to 3,782.95 and 8,256.94

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Solution

The third proportional to 3,782.95 and 8,256.94 is: 18,022.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.95 : 8,256.94 = 8,256.94 : x
  2. Step 2: Convert to fraction form
    3,782.95/8,256.94 = 8,256.94/x
  3. Step 3: Cross multiply
    3,782.95x = 8,256.94 × 8,256.94
  4. Step 4: Simplify right side
    3,782.95x = 68,177,016.88
  5. Step 5: Solve for x
    x = 68,177,016.88/3,782.95
  6. Step 6: Final answer
    x = 18,022.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.