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Finding the Third Proportional to 31.45 and 42.35

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Solution

The third proportional to 31.45 and 42.35 is: 57.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    31.45 : 42.35 = 42.35 : x
  2. Step 2: Convert to fraction form
    31.45/42.35 = 42.35/x
  3. Step 3: Cross multiply
    31.45x = 42.35 × 42.35
  4. Step 4: Simplify right side
    31.45x = 1,793.65
  5. Step 5: Solve for x
    x = 1,793.65/31.45
  6. Step 6: Final answer
    x = 57.03

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.