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Finding the Third Proportional to 38,470.50 and 41,658.75

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Solution

The third proportional to 38,470.50 and 41,658.75 is: 45,111.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,470.50 : 41,658.75 = 41,658.75 : x
  2. Step 2: Convert to fraction form
    38,470.50/41,658.75 = 41,658.75/x
  3. Step 3: Cross multiply
    38,470.50x = 41,658.75 × 41,658.75
  4. Step 4: Simplify right side
    38,470.50x = 1,735,451,451.56
  5. Step 5: Solve for x
    x = 1,735,451,451.56/38,470.50
  6. Step 6: Final answer
    x = 45,111.23

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These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.