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Finding the Third Proportional to 1.34 and 2.12

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Solution

The third proportional to 1.34 and 2.12 is: 3.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.34 : 2.12 = 2.12 : x
  2. Step 2: Convert to fraction form
    1.34/2.12 = 2.12/x
  3. Step 3: Cross multiply
    1.34x = 2.12 × 2.12
  4. Step 4: Simplify right side
    1.34x = 4.48
  5. Step 5: Solve for x
    x = 4.48/1.34
  6. Step 6: Final answer
    x = 3.34

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.