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Finding the Third Proportional to 5.77 and 8.69

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Solution

The third proportional to 5.77 and 8.69 is: 13.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.77 : 8.69 = 8.69 : x
  2. Step 2: Convert to fraction form
    5.77/8.69 = 8.69/x
  3. Step 3: Cross multiply
    5.77x = 8.69 × 8.69
  4. Step 4: Simplify right side
    5.77x = 75.50
  5. Step 5: Solve for x
    x = 75.50/5.77
  6. Step 6: Final answer
    x = 13.09

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.