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Finding the Third Proportional to 1.20 and 1.62

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Solution

The third proportional to 1.20 and 1.62 is: 2.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.20 : 1.62 = 1.62 : x
  2. Step 2: Convert to fraction form
    1.20/1.62 = 1.62/x
  3. Step 3: Cross multiply
    1.20x = 1.62 × 1.62
  4. Step 4: Simplify right side
    1.20x = 2.63
  5. Step 5: Solve for x
    x = 2.63/1.20
  6. Step 6: Final answer
    x = 2.19

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.