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Finding the Third Proportional to 5.71 and 6.94

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Solution

The third proportional to 5.71 and 6.94 is: 8.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5.71 : 6.94 = 6.94 : x
  2. Step 2: Convert to fraction form
    5.71/6.94 = 6.94/x
  3. Step 3: Cross multiply
    5.71x = 6.94 × 6.94
  4. Step 4: Simplify right side
    5.71x = 48.10
  5. Step 5: Solve for x
    x = 48.10/5.71
  6. Step 6: Final answer
    x = 8.43

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Why These Related Problems?

These problems maintain the same ratio (1.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.