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Finding the Third Proportional to 18,896 and 38,008

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Solution

The third proportional to 18,896 and 38,008 is: 76,450.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,896 : 38,008 = 38,008 : x
  2. Step 2: Convert to fraction form
    18,896/38,008 = 38,008/x
  3. Step 3: Cross multiply
    18,896x = 38,008 × 38,008
  4. Step 4: Simplify right side
    18,896x = 1,444,608,064
  5. Step 5: Solve for x
    x = 1,444,608,064/18,896
  6. Step 6: Final answer
    x = 76,450.47

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Why These Related Problems?

These problems maintain the same ratio (2.01) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.