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Finding the Third Proportional to 2.13 and 2.38

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Solution

The third proportional to 2.13 and 2.38 is: 2.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.13 : 2.38 = 2.38 : x
  2. Step 2: Convert to fraction form
    2.13/2.38 = 2.38/x
  3. Step 3: Cross multiply
    2.13x = 2.38 × 2.38
  4. Step 4: Simplify right side
    2.13x = 5.64
  5. Step 5: Solve for x
    x = 5.64/2.13
  6. Step 6: Final answer
    x = 2.65

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.