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Finding the Third Proportional to 38,166.75 and 81,405.75

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Solution

The third proportional to 38,166.75 and 81,405.75 is: 173,630.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,166.75 : 81,405.75 = 81,405.75 : x
  2. Step 2: Convert to fraction form
    38,166.75/81,405.75 = 81,405.75/x
  3. Step 3: Cross multiply
    38,166.75x = 81,405.75 × 81,405.75
  4. Step 4: Simplify right side
    38,166.75x = 6,626,896,133.06
  5. Step 5: Solve for x
    x = 6,626,896,133.06/38,166.75
  6. Step 6: Final answer
    x = 173,630.09

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These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.