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Finding the Third Proportional to 33.22 and 71.19

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Solution

The third proportional to 33.22 and 71.19 is: 152.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    33.22 : 71.19 = 71.19 : x
  2. Step 2: Convert to fraction form
    33.22/71.19 = 71.19/x
  3. Step 3: Cross multiply
    33.22x = 71.19 × 71.19
  4. Step 4: Simplify right side
    33.22x = 5,068.22
  5. Step 5: Solve for x
    x = 5,068.22/33.22
  6. Step 6: Final answer
    x = 152.55

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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.