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Finding the Third Proportional to 2.21 and 4.15

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Solution

The third proportional to 2.21 and 4.15 is: 7.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.21 : 4.15 = 4.15 : x
  2. Step 2: Convert to fraction form
    2.21/4.15 = 4.15/x
  3. Step 3: Cross multiply
    2.21x = 4.15 × 4.15
  4. Step 4: Simplify right side
    2.21x = 17.21
  5. Step 5: Solve for x
    x = 17.21/2.21
  6. Step 6: Final answer
    x = 7.77

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.