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Finding the Third Proportional to 12 and 32.13

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Solution

The third proportional to 12 and 32.13 is: 86.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12 : 32.13 = 32.13 : x
  2. Step 2: Convert to fraction form
    12/32.13 = 32.13/x
  3. Step 3: Cross multiply
    12x = 32.13 × 32.13
  4. Step 4: Simplify right side
    12x = 1,032.02
  5. Step 5: Solve for x
    x = 1,032.02/12
  6. Step 6: Final answer
    x = 86.00

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Why These Related Problems?

These problems maintain the same ratio (2.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.