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Finding the Third Proportional to 1.38 and 2.25

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Solution

The third proportional to 1.38 and 2.25 is: 3.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.38 : 2.25 = 2.25 : x
  2. Step 2: Convert to fraction form
    1.38/2.25 = 2.25/x
  3. Step 3: Cross multiply
    1.38x = 2.25 × 2.25
  4. Step 4: Simplify right side
    1.38x = 5.06
  5. Step 5: Solve for x
    x = 5.06/1.38
  6. Step 6: Final answer
    x = 3.68

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.