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Finding the Third Proportional to 31.88 and 69.75

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Solution

The third proportional to 31.88 and 69.75 is: 152.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.88 : 69.75 = 69.75 : x
  2. Step 2: Convert to fraction form
    31.88/69.75 = 69.75/x
  3. Step 3: Cross multiply
    31.88x = 69.75 × 69.75
  4. Step 4: Simplify right side
    31.88x = 4,865.06
  5. Step 5: Solve for x
    x = 4,865.06/31.88
  6. Step 6: Final answer
    x = 152.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.