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Finding the Third Proportional to 7,722 and 10,881

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Solution

The third proportional to 7,722 and 10,881 is: 15,332.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,722 : 10,881 = 10,881 : x
  2. Step 2: Convert to fraction form
    7,722/10,881 = 10,881/x
  3. Step 3: Cross multiply
    7,722x = 10,881 × 10,881
  4. Step 4: Simplify right side
    7,722x = 118,396,161
  5. Step 5: Solve for x
    x = 118,396,161/7,722
  6. Step 6: Final answer
    x = 15,332.32

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.