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Finding the Third Proportional to 7,962 and 17,508

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Solution

The third proportional to 7,962 and 17,508 is: 38,499.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,962 : 17,508 = 17,508 : x
  2. Step 2: Convert to fraction form
    7,962/17,508 = 17,508/x
  3. Step 3: Cross multiply
    7,962x = 17,508 × 17,508
  4. Step 4: Simplify right side
    7,962x = 306,530,064
  5. Step 5: Solve for x
    x = 306,530,064/7,962
  6. Step 6: Final answer
    x = 38,499.13

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.