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Finding the Third Proportional to 51.90 and 76.37

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Solution

The third proportional to 51.90 and 76.37 is: 112.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.90 : 76.37 = 76.37 : x
  2. Step 2: Convert to fraction form
    51.90/76.37 = 76.37/x
  3. Step 3: Cross multiply
    51.90x = 76.37 × 76.37
  4. Step 4: Simplify right side
    51.90x = 5,832.31
  5. Step 5: Solve for x
    x = 5,832.31/51.90
  6. Step 6: Final answer
    x = 112.37

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.