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Finding the Third Proportional to 6.07 and 8.52

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Solution

The third proportional to 6.07 and 8.52 is: 11.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.07 : 8.52 = 8.52 : x
  2. Step 2: Convert to fraction form
    6.07/8.52 = 8.52/x
  3. Step 3: Cross multiply
    6.07x = 8.52 × 8.52
  4. Step 4: Simplify right side
    6.07x = 72.67
  5. Step 5: Solve for x
    x = 72.67/6.07
  6. Step 6: Final answer
    x = 11.98

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.