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Finding the Third Proportional to 6.80 and 14.55

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Solution

The third proportional to 6.80 and 14.55 is: 31.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    6.80 : 14.55 = 14.55 : x
  2. Step 2: Convert to fraction form
    6.80/14.55 = 14.55/x
  3. Step 3: Cross multiply
    6.80x = 14.55 × 14.55
  4. Step 4: Simplify right side
    6.80x = 211.84
  5. Step 5: Solve for x
    x = 211.84/6.80
  6. Step 6: Final answer
    x = 31.14

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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.