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Finding the Third Proportional to 51.14 and 76.00

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Solution

The third proportional to 51.14 and 76.00 is: 112.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.14 : 76.00 = 76.00 : x
  2. Step 2: Convert to fraction form
    51.14/76.00 = 76.00/x
  3. Step 3: Cross multiply
    51.14x = 76.00 × 76.00
  4. Step 4: Simplify right side
    51.14x = 5,775.52
  5. Step 5: Solve for x
    x = 5,775.52/51.14
  6. Step 6: Final answer
    x = 112.94

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.