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Finding the Third Proportional to 5.23 and 7.71

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Solution

The third proportional to 5.23 and 7.71 is: 11.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.23 : 7.71 = 7.71 : x
  2. Step 2: Convert to fraction form
    5.23/7.71 = 7.71/x
  3. Step 3: Cross multiply
    5.23x = 7.71 × 7.71
  4. Step 4: Simplify right side
    5.23x = 59.46
  5. Step 5: Solve for x
    x = 59.46/5.23
  6. Step 6: Final answer
    x = 11.36

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.