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Finding the Third Proportional to 0.60 and 2.70

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Solution

The third proportional to 0.60 and 2.70 is: 12.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.60 : 2.70 = 2.70 : x
  2. Step 2: Convert to fraction form
    0.60/2.70 = 2.70/x
  3. Step 3: Cross multiply
    0.60x = 2.70 × 2.70
  4. Step 4: Simplify right side
    0.60x = 7.31
  5. Step 5: Solve for x
    x = 7.31/0.60
  6. Step 6: Final answer
    x = 12.16

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Why These Related Problems?

These problems maintain the same ratio (4.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.