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Finding the Third Proportional to 3,951.70 and 8,631.98

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Solution

The third proportional to 3,951.70 and 8,631.98 is: 18,855.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,951.70 : 8,631.98 = 8,631.98 : x
  2. Step 2: Convert to fraction form
    3,951.70/8,631.98 = 8,631.98/x
  3. Step 3: Cross multiply
    3,951.70x = 8,631.98 × 8,631.98
  4. Step 4: Simplify right side
    3,951.70x = 74,511,154.25
  5. Step 5: Solve for x
    x = 74,511,154.25/3,951.70
  6. Step 6: Final answer
    x = 18,855.45

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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.