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Finding the Third Proportional to 38,887.75 and 81,924.75

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Solution

The third proportional to 38,887.75 and 81,924.75 is: 172,590.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,887.75 : 81,924.75 = 81,924.75 : x
  2. Step 2: Convert to fraction form
    38,887.75/81,924.75 = 81,924.75/x
  3. Step 3: Cross multiply
    38,887.75x = 81,924.75 × 81,924.75
  4. Step 4: Simplify right side
    38,887.75x = 6,711,664,662.56
  5. Step 5: Solve for x
    x = 6,711,664,662.56/38,887.75
  6. Step 6: Final answer
    x = 172,590.72

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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.