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Finding the Third Proportional to 30.75 and 40.31

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Solution

The third proportional to 30.75 and 40.31 is: 52.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.75 : 40.31 = 40.31 : x
  2. Step 2: Convert to fraction form
    30.75/40.31 = 40.31/x
  3. Step 3: Cross multiply
    30.75x = 40.31 × 40.31
  4. Step 4: Simplify right side
    30.75x = 1,625.10
  5. Step 5: Solve for x
    x = 1,625.10/30.75
  6. Step 6: Final answer
    x = 52.85

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.