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Finding the Third Proportional to 7.75 and 12.06

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Solution

The third proportional to 7.75 and 12.06 is: 18.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    7.75 : 12.06 = 12.06 : x
  2. Step 2: Convert to fraction form
    7.75/12.06 = 12.06/x
  3. Step 3: Cross multiply
    7.75x = 12.06 × 12.06
  4. Step 4: Simplify right side
    7.75x = 145.50
  5. Step 5: Solve for x
    x = 145.50/7.75
  6. Step 6: Final answer
    x = 18.77

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.