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Finding the Third Proportional to 38,323.13 and 81,027.84

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Solution

The third proportional to 38,323.13 and 81,027.84 is: 171,319.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,323.13 : 81,027.84 = 81,027.84 : x
  2. Step 2: Convert to fraction form
    38,323.13/81,027.84 = 81,027.84/x
  3. Step 3: Cross multiply
    38,323.13x = 81,027.84 × 81,027.84
  4. Step 4: Simplify right side
    38,323.13x = 6,565,511,462.77
  5. Step 5: Solve for x
    x = 6,565,511,462.77/38,323.13
  6. Step 6: Final answer
    x = 171,319.84

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.