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Finding the Third Proportional to 0.75 and 2.25

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Solution

The third proportional to 0.75 and 2.25 is: 6.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.75 : 2.25 = 2.25 : x
  2. Step 2: Convert to fraction form
    0.75/2.25 = 2.25/x
  3. Step 3: Cross multiply
    0.75x = 2.25 × 2.25
  4. Step 4: Simplify right side
    0.75x = 5.06
  5. Step 5: Solve for x
    x = 5.06/0.75
  6. Step 6: Final answer
    x = 6.75

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Why These Related Problems?

These problems maintain the same ratio (3) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.