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Finding the Third Proportional to 5.69 and 8.57

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Solution

The third proportional to 5.69 and 8.57 is: 12.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.69 : 8.57 = 8.57 : x
  2. Step 2: Convert to fraction form
    5.69/8.57 = 8.57/x
  3. Step 3: Cross multiply
    5.69x = 8.57 × 8.57
  4. Step 4: Simplify right side
    5.69x = 73.48
  5. Step 5: Solve for x
    x = 73.48/5.69
  6. Step 6: Final answer
    x = 12.91

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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.