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Finding the Third Proportional to 0.89 and 2.12

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Solution

The third proportional to 0.89 and 2.12 is: 5.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.89 : 2.12 = 2.12 : x
  2. Step 2: Convert to fraction form
    0.89/2.12 = 2.12/x
  3. Step 3: Cross multiply
    0.89x = 2.12 × 2.12
  4. Step 4: Simplify right side
    0.89x = 4.48
  5. Step 5: Solve for x
    x = 4.48/0.89
  6. Step 6: Final answer
    x = 5.02

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.