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Finding the Third Proportional to 5.65 and 7.71

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Solution

The third proportional to 5.65 and 7.71 is: 10.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.65 : 7.71 = 7.71 : x
  2. Step 2: Convert to fraction form
    5.65/7.71 = 7.71/x
  3. Step 3: Cross multiply
    5.65x = 7.71 × 7.71
  4. Step 4: Simplify right side
    5.65x = 59.38
  5. Step 5: Solve for x
    x = 59.38/5.65
  6. Step 6: Final answer
    x = 10.51

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.