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Finding the Third Proportional to 7,962 and 17,334

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Solution

The third proportional to 7,962 and 17,334 is: 37,737.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962 : 17,334 = 17,334 : x
  2. Step 2: Convert to fraction form
    7,962/17,334 = 17,334/x
  3. Step 3: Cross multiply
    7,962x = 17,334 × 17,334
  4. Step 4: Simplify right side
    7,962x = 300,467,556
  5. Step 5: Solve for x
    x = 300,467,556/7,962
  6. Step 6: Final answer
    x = 37,737.70

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.