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Finding the Third Proportional to 4.66 and 6.27

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Solution

The third proportional to 4.66 and 6.27 is: 8.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.66 : 6.27 = 6.27 : x
  2. Step 2: Convert to fraction form
    4.66/6.27 = 6.27/x
  3. Step 3: Cross multiply
    4.66x = 6.27 × 6.27
  4. Step 4: Simplify right side
    4.66x = 39.28
  5. Step 5: Solve for x
    x = 39.28/4.66
  6. Step 6: Final answer
    x = 8.43

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.