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Finding the Third Proportional to 5.71 and 6.55

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Solution

The third proportional to 5.71 and 6.55 is: 7.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.71 : 6.55 = 6.55 : x
  2. Step 2: Convert to fraction form
    5.71/6.55 = 6.55/x
  3. Step 3: Cross multiply
    5.71x = 6.55 × 6.55
  4. Step 4: Simplify right side
    5.71x = 42.96
  5. Step 5: Solve for x
    x = 42.96/5.71
  6. Step 6: Final answer
    x = 7.53

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Why These Related Problems?

These problems maintain the same ratio (1.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.