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Finding the Third Proportional to 32 and 84.13

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Solution

The third proportional to 32 and 84.13 is: 221.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    32 : 84.13 = 84.13 : x
  2. Step 2: Convert to fraction form
    32/84.13 = 84.13/x
  3. Step 3: Cross multiply
    32x = 84.13 × 84.13
  4. Step 4: Simplify right side
    32x = 7,077.02
  5. Step 5: Solve for x
    x = 7,077.02/32
  6. Step 6: Final answer
    x = 221.16

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.