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Finding the Third Proportional to 30.22 and 61.86

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Solution

The third proportional to 30.22 and 61.86 is: 126.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.22 : 61.86 = 61.86 : x
  2. Step 2: Convert to fraction form
    30.22/61.86 = 61.86/x
  3. Step 3: Cross multiply
    30.22x = 61.86 × 61.86
  4. Step 4: Simplify right side
    30.22x = 3,826.34
  5. Step 5: Solve for x
    x = 3,826.34/30.22
  6. Step 6: Final answer
    x = 126.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.