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Finding the Third Proportional to 31.50 and 51.84

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Solution

The third proportional to 31.50 and 51.84 is: 85.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.50 : 51.84 = 51.84 : x
  2. Step 2: Convert to fraction form
    31.50/51.84 = 51.84/x
  3. Step 3: Cross multiply
    31.50x = 51.84 × 51.84
  4. Step 4: Simplify right side
    31.50x = 2,687.77
  5. Step 5: Solve for x
    x = 2,687.77/31.50
  6. Step 6: Final answer
    x = 85.33

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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.