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Finding the Third Proportional to 4.50 and 12.09

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Solution

The third proportional to 4.50 and 12.09 is: 32.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    4.50 : 12.09 = 12.09 : x
  2. Step 2: Convert to fraction form
    4.50/12.09 = 12.09/x
  3. Step 3: Cross multiply
    4.50x = 12.09 × 12.09
  4. Step 4: Simplify right side
    4.50x = 146.26
  5. Step 5: Solve for x
    x = 146.26/4.50
  6. Step 6: Final answer
    x = 32.50

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Why These Related Problems?

These problems maintain the same ratio (2.69) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.