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Finding the Third Proportional to 31 and 43.75

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Solution

The third proportional to 31 and 43.75 is: 61.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    31 : 43.75 = 43.75 : x
  2. Step 2: Convert to fraction form
    31/43.75 = 43.75/x
  3. Step 3: Cross multiply
    31x = 43.75 × 43.75
  4. Step 4: Simplify right side
    31x = 1,914.06
  5. Step 5: Solve for x
    x = 1,914.06/31
  6. Step 6: Final answer
    x = 61.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.