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Finding the Third Proportional to 2.25 and 6.07

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Solution

The third proportional to 2.25 and 6.07 is: 16.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.25 : 6.07 = 6.07 : x
  2. Step 2: Convert to fraction form
    2.25/6.07 = 6.07/x
  3. Step 3: Cross multiply
    2.25x = 6.07 × 6.07
  4. Step 4: Simplify right side
    2.25x = 36.83
  5. Step 5: Solve for x
    x = 36.83/2.25
  6. Step 6: Final answer
    x = 16.38

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Why These Related Problems?

These problems maintain the same ratio (2.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.