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Finding the Third Proportional to 2.54 and 6.52

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Solution

The third proportional to 2.54 and 6.52 is: 16.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.54 : 6.52 = 6.52 : x
  2. Step 2: Convert to fraction form
    2.54/6.52 = 6.52/x
  3. Step 3: Cross multiply
    2.54x = 6.52 × 6.52
  4. Step 4: Simplify right side
    2.54x = 42.55
  5. Step 5: Solve for x
    x = 42.55/2.54
  6. Step 6: Final answer
    x = 16.72

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Why These Related Problems?

These problems maintain the same ratio (2.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.