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Finding the Third Proportional to 32.80 and 70.66

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Solution

The third proportional to 32.80 and 70.66 is: 152.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.80 : 70.66 = 70.66 : x
  2. Step 2: Convert to fraction form
    32.80/70.66 = 70.66/x
  3. Step 3: Cross multiply
    32.80x = 70.66 × 70.66
  4. Step 4: Simplify right side
    32.80x = 4,993.41
  5. Step 5: Solve for x
    x = 4,993.41/32.80
  6. Step 6: Final answer
    x = 152.23

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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.