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Finding the Third Proportional to 2.13 and 2.81

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Solution

The third proportional to 2.13 and 2.81 is: 3.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.13 : 2.81 = 2.81 : x
  2. Step 2: Convert to fraction form
    2.13/2.81 = 2.81/x
  3. Step 3: Cross multiply
    2.13x = 2.81 × 2.81
  4. Step 4: Simplify right side
    2.13x = 7.91
  5. Step 5: Solve for x
    x = 7.91/2.13
  6. Step 6: Final answer
    x = 3.72

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.