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Finding the Third Proportional to 4.16 and 6.27

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Solution

The third proportional to 4.16 and 6.27 is: 9.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.16 : 6.27 = 6.27 : x
  2. Step 2: Convert to fraction form
    4.16/6.27 = 6.27/x
  3. Step 3: Cross multiply
    4.16x = 6.27 × 6.27
  4. Step 4: Simplify right side
    4.16x = 39.32
  5. Step 5: Solve for x
    x = 39.32/4.16
  6. Step 6: Final answer
    x = 9.46

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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.