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Finding the Third Proportional to 3,052.69 and 6,267.19

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Solution

The third proportional to 3,052.69 and 6,267.19 is: 12,866.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,052.69 : 6,267.19 = 6,267.19 : x
  2. Step 2: Convert to fraction form
    3,052.69/6,267.19 = 6,267.19/x
  3. Step 3: Cross multiply
    3,052.69x = 6,267.19 × 6,267.19
  4. Step 4: Simplify right side
    3,052.69x = 39,277,639.16
  5. Step 5: Solve for x
    x = 39,277,639.16/3,052.69
  6. Step 6: Final answer
    x = 12,866.58

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.