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Finding the Third Proportional to 19.75 and 42.25

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Solution

The third proportional to 19.75 and 42.25 is: 90.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.75 : 42.25 = 42.25 : x
  2. Step 2: Convert to fraction form
    19.75/42.25 = 42.25/x
  3. Step 3: Cross multiply
    19.75x = 42.25 × 42.25
  4. Step 4: Simplify right side
    19.75x = 1,785.06
  5. Step 5: Solve for x
    x = 1,785.06/19.75
  6. Step 6: Final answer
    x = 90.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.