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Finding the Third Proportional to 4.34 and 6.73

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Solution

The third proportional to 4.34 and 6.73 is: 10.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.34 : 6.73 = 6.73 : x
  2. Step 2: Convert to fraction form
    4.34/6.73 = 6.73/x
  3. Step 3: Cross multiply
    4.34x = 6.73 × 6.73
  4. Step 4: Simplify right side
    4.34x = 45.24
  5. Step 5: Solve for x
    x = 45.24/4.34
  6. Step 6: Final answer
    x = 10.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.