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Finding the Third Proportional to 7.27 and 8.56

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Solution

The third proportional to 7.27 and 8.56 is: 10.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.27 : 8.56 = 8.56 : x
  2. Step 2: Convert to fraction form
    7.27/8.56 = 8.56/x
  3. Step 3: Cross multiply
    7.27x = 8.56 × 8.56
  4. Step 4: Simplify right side
    7.27x = 73.32
  5. Step 5: Solve for x
    x = 73.32/7.27
  6. Step 6: Final answer
    x = 10.08

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Why These Related Problems?

These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.