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Finding the Third Proportional to 3,876.94 and 8,491.13

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Solution

The third proportional to 3,876.94 and 8,491.13 is: 18,596.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,876.94 : 8,491.13 = 8,491.13 : x
  2. Step 2: Convert to fraction form
    3,876.94/8,491.13 = 8,491.13/x
  3. Step 3: Cross multiply
    3,876.94x = 8,491.13 × 8,491.13
  4. Step 4: Simplify right side
    3,876.94x = 72,099,203.77
  5. Step 5: Solve for x
    x = 72,099,203.77/3,876.94
  6. Step 6: Final answer
    x = 18,596.95

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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.