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Finding the Third Proportional to 4,975 and 8,192

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Solution

The third proportional to 4,975 and 8,192 is: 13,489.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,975 : 8,192 = 8,192 : x
  2. Step 2: Convert to fraction form
    4,975/8,192 = 8,192/x
  3. Step 3: Cross multiply
    4,975x = 8,192 × 8,192
  4. Step 4: Simplify right side
    4,975x = 67,108,864
  5. Step 5: Solve for x
    x = 67,108,864/4,975
  6. Step 6: Final answer
    x = 13,489.22

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.