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Finding the Third Proportional to 2.84 and 4.14

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Solution

The third proportional to 2.84 and 4.14 is: 6.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.84 : 4.14 = 4.14 : x
  2. Step 2: Convert to fraction form
    2.84/4.14 = 4.14/x
  3. Step 3: Cross multiply
    2.84x = 4.14 × 4.14
  4. Step 4: Simplify right side
    2.84x = 17.14
  5. Step 5: Solve for x
    x = 17.14/2.84
  6. Step 6: Final answer
    x = 6.03

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.