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Finding the Third Proportional to 6,626 and 15,997

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Solution

The third proportional to 6,626 and 15,997 is: 38,621.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,626 : 15,997 = 15,997 : x
  2. Step 2: Convert to fraction form
    6,626/15,997 = 15,997/x
  3. Step 3: Cross multiply
    6,626x = 15,997 × 15,997
  4. Step 4: Simplify right side
    6,626x = 255,904,009
  5. Step 5: Solve for x
    x = 255,904,009/6,626
  6. Step 6: Final answer
    x = 38,621.19

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.