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Finding the Third Proportional to 38,733.50 and 82,117.75

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Solution

The third proportional to 38,733.50 and 82,117.75 is: 174,095.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,733.50 : 82,117.75 = 82,117.75 : x
  2. Step 2: Convert to fraction form
    38,733.50/82,117.75 = 82,117.75/x
  3. Step 3: Cross multiply
    38,733.50x = 82,117.75 × 82,117.75
  4. Step 4: Simplify right side
    38,733.50x = 6,743,324,865.06
  5. Step 5: Solve for x
    x = 6,743,324,865.06/38,733.50
  6. Step 6: Final answer
    x = 174,095.42

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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.