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Finding the Third Proportional to 7,212 and 10,766

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Solution

The third proportional to 7,212 and 10,766 is: 16,071.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,212 : 10,766 = 10,766 : x
  2. Step 2: Convert to fraction form
    7,212/10,766 = 10,766/x
  3. Step 3: Cross multiply
    7,212x = 10,766 × 10,766
  4. Step 4: Simplify right side
    7,212x = 115,906,756
  5. Step 5: Solve for x
    x = 115,906,756/7,212
  6. Step 6: Final answer
    x = 16,071.37

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.