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Finding the Third Proportional to 36.37 and 51.84

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Solution

The third proportional to 36.37 and 51.84 is: 73.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36.37 : 51.84 = 51.84 : x
  2. Step 2: Convert to fraction form
    36.37/51.84 = 51.84/x
  3. Step 3: Cross multiply
    36.37x = 51.84 × 51.84
  4. Step 4: Simplify right side
    36.37x = 2,687.17
  5. Step 5: Solve for x
    x = 2,687.17/36.37
  6. Step 6: Final answer
    x = 73.89

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.