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Finding the Third Proportional to 2.53 and 2.64

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Solution

The third proportional to 2.53 and 2.64 is: 2.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.53 : 2.64 = 2.64 : x
  2. Step 2: Convert to fraction form
    2.53/2.64 = 2.64/x
  3. Step 3: Cross multiply
    2.53x = 2.64 × 2.64
  4. Step 4: Simplify right side
    2.53x = 6.95
  5. Step 5: Solve for x
    x = 6.95/2.53
  6. Step 6: Final answer
    x = 2.75

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Why These Related Problems?

These problems maintain the same ratio (1.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.