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Finding the Third Proportional to 1.31 and 2.04

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Solution

The third proportional to 1.31 and 2.04 is: 3.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.31 : 2.04 = 2.04 : x
  2. Step 2: Convert to fraction form
    1.31/2.04 = 2.04/x
  3. Step 3: Cross multiply
    1.31x = 2.04 × 2.04
  4. Step 4: Simplify right side
    1.31x = 4.16
  5. Step 5: Solve for x
    x = 4.16/1.31
  6. Step 6: Final answer
    x = 3.17

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.