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Finding the Third Proportional to 3,711.94 and 7,729.95

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Solution

The third proportional to 3,711.94 and 7,729.95 is: 16,097.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,711.94 : 7,729.95 = 7,729.95 : x
  2. Step 2: Convert to fraction form
    3,711.94/7,729.95 = 7,729.95/x
  3. Step 3: Cross multiply
    3,711.94x = 7,729.95 × 7,729.95
  4. Step 4: Simplify right side
    3,711.94x = 59,752,054.53
  5. Step 5: Solve for x
    x = 59,752,054.53/3,711.94
  6. Step 6: Final answer
    x = 16,097.27

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.