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Finding the Third Proportional to 8,192 and 15,568

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Solution

The third proportional to 8,192 and 15,568 is: 29,585.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,192 : 15,568 = 15,568 : x
  2. Step 2: Convert to fraction form
    8,192/15,568 = 15,568/x
  3. Step 3: Cross multiply
    8,192x = 15,568 × 15,568
  4. Step 4: Simplify right side
    8,192x = 242,362,624
  5. Step 5: Solve for x
    x = 242,362,624/8,192
  6. Step 6: Final answer
    x = 29,585.28

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Why These Related Problems?

These problems maintain the same ratio (1.90) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.