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Finding the Third Proportional to 32.31 and 68.81

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Solution

The third proportional to 32.31 and 68.81 is: 146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32.31 : 68.81 = 68.81 : x
  2. Step 2: Convert to fraction form
    32.31/68.81 = 68.81/x
  3. Step 3: Cross multiply
    32.31x = 68.81 × 68.81
  4. Step 4: Simplify right side
    32.31x = 4,735.16
  5. Step 5: Solve for x
    x = 4,735.16/32.31
  6. Step 6: Final answer
    x = 146.54

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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.