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Finding the Third Proportional to 36,576 and 54,708.75

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Solution

The third proportional to 36,576 and 54,708.75 is: 81,830.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,576 : 54,708.75 = 54,708.75 : x
  2. Step 2: Convert to fraction form
    36,576/54,708.75 = 54,708.75/x
  3. Step 3: Cross multiply
    36,576x = 54,708.75 × 54,708.75
  4. Step 4: Simplify right side
    36,576x = 2,993,047,326.56
  5. Step 5: Solve for x
    x = 2,993,047,326.56/36,576
  6. Step 6: Final answer
    x = 81,830.91

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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.