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Finding the Third Proportional to 3,376.69 and 7,267.22

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Solution

The third proportional to 3,376.69 and 7,267.22 is: 15,640.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,376.69 : 7,267.22 = 7,267.22 : x
  2. Step 2: Convert to fraction form
    3,376.69/7,267.22 = 7,267.22/x
  3. Step 3: Cross multiply
    3,376.69x = 7,267.22 × 7,267.22
  4. Step 4: Simplify right side
    3,376.69x = 52,812,468.36
  5. Step 5: Solve for x
    x = 52,812,468.36/3,376.69
  6. Step 6: Final answer
    x = 15,640.32

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.