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Finding the Third Proportional to 2.45 and 5.75

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Solution

The third proportional to 2.45 and 5.75 is: 13.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.45 : 5.75 = 5.75 : x
  2. Step 2: Convert to fraction form
    2.45/5.75 = 5.75/x
  3. Step 3: Cross multiply
    2.45x = 5.75 × 5.75
  4. Step 4: Simplify right side
    2.45x = 33.09
  5. Step 5: Solve for x
    x = 33.09/2.45
  6. Step 6: Final answer
    x = 13.51

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.