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Finding the Third Proportional to 19.37 and 42.20

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Solution

The third proportional to 19.37 and 42.20 is: 91.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.37 : 42.20 = 42.20 : x
  2. Step 2: Convert to fraction form
    19.37/42.20 = 42.20/x
  3. Step 3: Cross multiply
    19.37x = 42.20 × 42.20
  4. Step 4: Simplify right side
    19.37x = 1,780.64
  5. Step 5: Solve for x
    x = 1,780.64/19.37
  6. Step 6: Final answer
    x = 91.92

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.