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Finding the Third Proportional to 37,725.75 and 40,960.69

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Solution

The third proportional to 37,725.75 and 40,960.69 is: 44,473.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,725.75 : 40,960.69 = 40,960.69 : x
  2. Step 2: Convert to fraction form
    37,725.75/40,960.69 = 40,960.69/x
  3. Step 3: Cross multiply
    37,725.75x = 40,960.69 × 40,960.69
  4. Step 4: Simplify right side
    37,725.75x = 1,677,777,920.47
  5. Step 5: Solve for x
    x = 1,677,777,920.47/37,725.75
  6. Step 6: Final answer
    x = 44,473.02

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These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.