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Finding the Third Proportional to 32.22 and 66.72

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Solution

The third proportional to 32.22 and 66.72 is: 138.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.22 : 66.72 = 66.72 : x
  2. Step 2: Convert to fraction form
    32.22/66.72 = 66.72/x
  3. Step 3: Cross multiply
    32.22x = 66.72 × 66.72
  4. Step 4: Simplify right side
    32.22x = 4,451.39
  5. Step 5: Solve for x
    x = 4,451.39/32.22
  6. Step 6: Final answer
    x = 138.16

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.