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Finding the Third Proportional to 3,826.41 and 8,176.78

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Solution

The third proportional to 3,826.41 and 8,176.78 is: 17,473.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,826.41 : 8,176.78 = 8,176.78 : x
  2. Step 2: Convert to fraction form
    3,826.41/8,176.78 = 8,176.78/x
  3. Step 3: Cross multiply
    3,826.41x = 8,176.78 × 8,176.78
  4. Step 4: Simplify right side
    3,826.41x = 66,859,751.61
  5. Step 5: Solve for x
    x = 66,859,751.61/3,826.41
  6. Step 6: Final answer
    x = 17,473.25

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.