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Finding the Third Proportional to 51.38 and 84.94

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Solution

The third proportional to 51.38 and 84.94 is: 140.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    51.38 : 84.94 = 84.94 : x
  2. Step 2: Convert to fraction form
    51.38/84.94 = 84.94/x
  3. Step 3: Cross multiply
    51.38x = 84.94 × 84.94
  4. Step 4: Simplify right side
    51.38x = 7,214.38
  5. Step 5: Solve for x
    x = 7,214.38/51.38
  6. Step 6: Final answer
    x = 140.43

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.