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Finding the Third Proportional to 6.10 and 6.57

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Solution

The third proportional to 6.10 and 6.57 is: 7.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.10 : 6.57 = 6.57 : x
  2. Step 2: Convert to fraction form
    6.10/6.57 = 6.57/x
  3. Step 3: Cross multiply
    6.10x = 6.57 × 6.57
  4. Step 4: Simplify right side
    6.10x = 43.15
  5. Step 5: Solve for x
    x = 43.15/6.10
  6. Step 6: Final answer
    x = 7.07

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.