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Finding the Third Proportional to 5.06 and 32.91

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Solution

The third proportional to 5.06 and 32.91 is: 213.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.06 : 32.91 = 32.91 : x
  2. Step 2: Convert to fraction form
    5.06/32.91 = 32.91/x
  3. Step 3: Cross multiply
    5.06x = 32.91 × 32.91
  4. Step 4: Simplify right side
    5.06x = 1,082.82
  5. Step 5: Solve for x
    x = 1,082.82/5.06
  6. Step 6: Final answer
    x = 213.89

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Why These Related Problems?

These problems maintain the same ratio (6.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.