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Finding the Third Proportional to 2.53 and 2.67

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Solution

The third proportional to 2.53 and 2.67 is: 2.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.53 : 2.67 = 2.67 : x
  2. Step 2: Convert to fraction form
    2.53/2.67 = 2.67/x
  3. Step 3: Cross multiply
    2.53x = 2.67 × 2.67
  4. Step 4: Simplify right side
    2.53x = 7.14
  5. Step 5: Solve for x
    x = 7.14/2.53
  6. Step 6: Final answer
    x = 2.82

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Why These Related Problems?

These problems maintain the same ratio (1.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.