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Finding the Third Proportional to 51.75 and 55.38

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Solution

The third proportional to 51.75 and 55.38 is: 59.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.75 : 55.38 = 55.38 : x
  2. Step 2: Convert to fraction form
    51.75/55.38 = 55.38/x
  3. Step 3: Cross multiply
    51.75x = 55.38 × 55.38
  4. Step 4: Simplify right side
    51.75x = 3,066.39
  5. Step 5: Solve for x
    x = 3,066.39/51.75
  6. Step 6: Final answer
    x = 59.25

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.