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Finding the Third Proportional to 2.14 and 3.63

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Solution

The third proportional to 2.14 and 3.63 is: 6.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.14 : 3.63 = 3.63 : x
  2. Step 2: Convert to fraction form
    2.14/3.63 = 3.63/x
  3. Step 3: Cross multiply
    2.14x = 3.63 × 3.63
  4. Step 4: Simplify right side
    2.14x = 13.21
  5. Step 5: Solve for x
    x = 13.21/2.14
  6. Step 6: Final answer
    x = 6.18

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Why These Related Problems?

These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.