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Finding the Third Proportional to 3,966.75 and 8,616.94

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Solution

The third proportional to 3,966.75 and 8,616.94 is: 18,718.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.75 : 8,616.94 = 8,616.94 : x
  2. Step 2: Convert to fraction form
    3,966.75/8,616.94 = 8,616.94/x
  3. Step 3: Cross multiply
    3,966.75x = 8,616.94 × 8,616.94
  4. Step 4: Simplify right side
    3,966.75x = 74,251,611.88
  5. Step 5: Solve for x
    x = 74,251,611.88/3,966.75
  6. Step 6: Final answer
    x = 18,718.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.