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Finding the Third Proportional to 36,648 and 54,960.75

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Solution

The third proportional to 36,648 and 54,960.75 is: 82,424.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,648 : 54,960.75 = 54,960.75 : x
  2. Step 2: Convert to fraction form
    36,648/54,960.75 = 54,960.75/x
  3. Step 3: Cross multiply
    36,648x = 54,960.75 × 54,960.75
  4. Step 4: Simplify right side
    36,648x = 3,020,684,040.56
  5. Step 5: Solve for x
    x = 3,020,684,040.56/36,648
  6. Step 6: Final answer
    x = 82,424.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.