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Finding the Third Proportional to 17,998 and 38,648

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Solution

The third proportional to 17,998 and 38,648 is: 82,990.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,998 : 38,648 = 38,648 : x
  2. Step 2: Convert to fraction form
    17,998/38,648 = 38,648/x
  3. Step 3: Cross multiply
    17,998x = 38,648 × 38,648
  4. Step 4: Simplify right side
    17,998x = 1,493,667,904
  5. Step 5: Solve for x
    x = 1,493,667,904/17,998
  6. Step 6: Final answer
    x = 82,990.77

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.