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Finding the Third Proportional to 17,774.44 and 38,162.81

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Solution

The third proportional to 17,774.44 and 38,162.81 is: 81,937.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,774.44 : 38,162.81 = 38,162.81 : x
  2. Step 2: Convert to fraction form
    17,774.44/38,162.81 = 38,162.81/x
  3. Step 3: Cross multiply
    17,774.44x = 38,162.81 × 38,162.81
  4. Step 4: Simplify right side
    17,774.44x = 1,456,400,257.91
  5. Step 5: Solve for x
    x = 1,456,400,257.91/17,774.44
  6. Step 6: Final answer
    x = 81,937.91

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