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Finding the Third Proportional to 6.57 and 14.03

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Solution

The third proportional to 6.57 and 14.03 is: 29.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.57 : 14.03 = 14.03 : x
  2. Step 2: Convert to fraction form
    6.57/14.03 = 14.03/x
  3. Step 3: Cross multiply
    6.57x = 14.03 × 14.03
  4. Step 4: Simplify right side
    6.57x = 196.88
  5. Step 5: Solve for x
    x = 196.88/6.57
  6. Step 6: Final answer
    x = 29.96

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.