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Finding the Third Proportional to 32.06 and 68.44

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Solution

The third proportional to 32.06 and 68.44 is: 146.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.06 : 68.44 = 68.44 : x
  2. Step 2: Convert to fraction form
    32.06/68.44 = 68.44/x
  3. Step 3: Cross multiply
    32.06x = 68.44 × 68.44
  4. Step 4: Simplify right side
    32.06x = 4,683.69
  5. Step 5: Solve for x
    x = 4,683.69/32.06
  6. Step 6: Final answer
    x = 146.08

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.