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Finding the Third Proportional to 1.60 and 3.29

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Solution

The third proportional to 1.60 and 3.29 is: 6.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.60 : 3.29 = 3.29 : x
  2. Step 2: Convert to fraction form
    1.60/3.29 = 3.29/x
  3. Step 3: Cross multiply
    1.60x = 3.29 × 3.29
  4. Step 4: Simplify right side
    1.60x = 10.84
  5. Step 5: Solve for x
    x = 10.84/1.60
  6. Step 6: Final answer
    x = 6.77

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.