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Finding the Third Proportional to 19.76 and 42.26

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Solution

The third proportional to 19.76 and 42.26 is: 90.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19.76 : 42.26 = 42.26 : x
  2. Step 2: Convert to fraction form
    19.76/42.26 = 42.26/x
  3. Step 3: Cross multiply
    19.76x = 42.26 × 42.26
  4. Step 4: Simplify right side
    19.76x = 1,785.72
  5. Step 5: Solve for x
    x = 1,785.72/19.76
  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.