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Finding the Third Proportional to 38,334.75 and 81,225.75

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Solution

The third proportional to 38,334.75 and 81,225.75 is: 172,105.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,334.75 : 81,225.75 = 81,225.75 : x
  2. Step 2: Convert to fraction form
    38,334.75/81,225.75 = 81,225.75/x
  3. Step 3: Cross multiply
    38,334.75x = 81,225.75 × 81,225.75
  4. Step 4: Simplify right side
    38,334.75x = 6,597,622,463.06
  5. Step 5: Solve for x
    x = 6,597,622,463.06/38,334.75
  6. Step 6: Final answer
    x = 172,105.53

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These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.