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Finding the Third Proportional to 3,569 and 7,836.50

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Solution

The third proportional to 3,569 and 7,836.50 is: 17,206.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,569 : 7,836.50 = 7,836.50 : x
  2. Step 2: Convert to fraction form
    3,569/7,836.50 = 7,836.50/x
  3. Step 3: Cross multiply
    3,569x = 7,836.50 × 7,836.50
  4. Step 4: Simplify right side
    3,569x = 61,410,732.25
  5. Step 5: Solve for x
    x = 61,410,732.25/3,569
  6. Step 6: Final answer
    x = 17,206.71

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.