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Finding the Third Proportional to 30.59 and 60.22

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Solution

The third proportional to 30.59 and 60.22 is: 118.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    30.59 : 60.22 = 60.22 : x
  2. Step 2: Convert to fraction form
    30.59/60.22 = 60.22/x
  3. Step 3: Cross multiply
    30.59x = 60.22 × 60.22
  4. Step 4: Simplify right side
    30.59x = 3,626.77
  5. Step 5: Solve for x
    x = 3,626.77/30.59
  6. Step 6: Final answer
    x = 118.58

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.