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Finding the Third Proportional to 7,684 and 15,962

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Solution

The third proportional to 7,684 and 15,962 is: 33,157.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,684 : 15,962 = 15,962 : x
  2. Step 2: Convert to fraction form
    7,684/15,962 = 15,962/x
  3. Step 3: Cross multiply
    7,684x = 15,962 × 15,962
  4. Step 4: Simplify right side
    7,684x = 254,785,444
  5. Step 5: Solve for x
    x = 254,785,444/7,684
  6. Step 6: Final answer
    x = 33,157.92

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.