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Finding the Third Proportional to 19.75 and 31.75

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Solution

The third proportional to 19.75 and 31.75 is: 51.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.75 : 31.75 = 31.75 : x
  2. Step 2: Convert to fraction form
    19.75/31.75 = 31.75/x
  3. Step 3: Cross multiply
    19.75x = 31.75 × 31.75
  4. Step 4: Simplify right side
    19.75x = 1,008.06
  5. Step 5: Solve for x
    x = 1,008.06/19.75
  6. Step 6: Final answer
    x = 51.04

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.