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Finding the Third Proportional to 32.72 and 70.22

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Solution

The third proportional to 32.72 and 70.22 is: 150.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.72 : 70.22 = 70.22 : x
  2. Step 2: Convert to fraction form
    32.72/70.22 = 70.22/x
  3. Step 3: Cross multiply
    32.72x = 70.22 × 70.22
  4. Step 4: Simplify right side
    32.72x = 4,930.67
  5. Step 5: Solve for x
    x = 4,930.67/32.72
  6. Step 6: Final answer
    x = 150.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.