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Finding the Third Proportional to 3,622.69 and 7,719.94

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Solution

The third proportional to 3,622.69 and 7,719.94 is: 16,451.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,622.69 : 7,719.94 = 7,719.94 : x
  2. Step 2: Convert to fraction form
    3,622.69/7,719.94 = 7,719.94/x
  3. Step 3: Cross multiply
    3,622.69x = 7,719.94 × 7,719.94
  4. Step 4: Simplify right side
    3,622.69x = 59,597,435.00
  5. Step 5: Solve for x
    x = 59,597,435.00/3,622.69
  6. Step 6: Final answer
    x = 16,451.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.