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Finding the Third Proportional to 7,286 and 10,991

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Solution

The third proportional to 7,286 and 10,991 is: 16,580.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,286 : 10,991 = 10,991 : x
  2. Step 2: Convert to fraction form
    7,286/10,991 = 10,991/x
  3. Step 3: Cross multiply
    7,286x = 10,991 × 10,991
  4. Step 4: Simplify right side
    7,286x = 120,802,081
  5. Step 5: Solve for x
    x = 120,802,081/7,286
  6. Step 6: Final answer
    x = 16,580.03

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.