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Finding the Third Proportional to 0.84 and 2.11

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Solution

The third proportional to 0.84 and 2.11 is: 5.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    0.84 : 2.11 = 2.11 : x
  2. Step 2: Convert to fraction form
    0.84/2.11 = 2.11/x
  3. Step 3: Cross multiply
    0.84x = 2.11 × 2.11
  4. Step 4: Simplify right side
    0.84x = 4.45
  5. Step 5: Solve for x
    x = 4.45/0.84
  6. Step 6: Final answer
    x = 5.27

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Why These Related Problems?

These problems maintain the same ratio (2.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.