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Finding the Third Proportional to 6.10 and 7.93

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Solution

The third proportional to 6.10 and 7.93 is: 10.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.10 : 7.93 = 7.93 : x
  2. Step 2: Convert to fraction form
    6.10/7.93 = 7.93/x
  3. Step 3: Cross multiply
    6.10x = 7.93 × 7.93
  4. Step 4: Simplify right side
    6.10x = 62.91
  5. Step 5: Solve for x
    x = 62.91/6.10
  6. Step 6: Final answer
    x = 10.31

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Why These Related Problems?

These problems maintain the same ratio (1.30) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.