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Finding the Third Proportional to 17,866 and 38,807

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Solution

The third proportional to 17,866 and 38,807 is: 84,293.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,866 : 38,807 = 38,807 : x
  2. Step 2: Convert to fraction form
    17,866/38,807 = 38,807/x
  3. Step 3: Cross multiply
    17,866x = 38,807 × 38,807
  4. Step 4: Simplify right side
    17,866x = 1,505,983,249
  5. Step 5: Solve for x
    x = 1,505,983,249/17,866
  6. Step 6: Final answer
    x = 84,293.25

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.