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Finding the Third Proportional to 6.00 and 12.93

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Solution

The third proportional to 6.00 and 12.93 is: 27.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.00 : 12.93 = 12.93 : x
  2. Step 2: Convert to fraction form
    6.00/12.93 = 12.93/x
  3. Step 3: Cross multiply
    6.00x = 12.93 × 12.93
  4. Step 4: Simplify right side
    6.00x = 167.18
  5. Step 5: Solve for x
    x = 167.18/6.00
  6. Step 6: Final answer
    x = 27.88

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.