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Finding the Third Proportional to 1.48 and 2.73

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Solution

The third proportional to 1.48 and 2.73 is: 5.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.48 : 2.73 = 2.73 : x
  2. Step 2: Convert to fraction form
    1.48/2.73 = 2.73/x
  3. Step 3: Cross multiply
    1.48x = 2.73 × 2.73
  4. Step 4: Simplify right side
    1.48x = 7.46
  5. Step 5: Solve for x
    x = 7.46/1.48
  6. Step 6: Final answer
    x = 5.05

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.