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Finding the Third Proportional to 2.51 and 3.73

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Solution

The third proportional to 2.51 and 3.73 is: 5.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.51 : 3.73 = 3.73 : x
  2. Step 2: Convert to fraction form
    2.51/3.73 = 3.73/x
  3. Step 3: Cross multiply
    2.51x = 3.73 × 3.73
  4. Step 4: Simplify right side
    2.51x = 13.95
  5. Step 5: Solve for x
    x = 13.95/2.51
  6. Step 6: Final answer
    x = 5.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.