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Finding the Third Proportional to 51.73 and 58.27

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Solution

The third proportional to 51.73 and 58.27 is: 65.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.73 : 58.27 = 58.27 : x
  2. Step 2: Convert to fraction form
    51.73/58.27 = 58.27/x
  3. Step 3: Cross multiply
    51.73x = 58.27 × 58.27
  4. Step 4: Simplify right side
    51.73x = 3,395.57
  5. Step 5: Solve for x
    x = 3,395.57/51.73
  6. Step 6: Final answer
    x = 65.64

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Why These Related Problems?

These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.