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Finding the Third Proportional to 2.19 and 4.02

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Solution

The third proportional to 2.19 and 4.02 is: 7.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.19 : 4.02 = 4.02 : x
  2. Step 2: Convert to fraction form
    2.19/4.02 = 4.02/x
  3. Step 3: Cross multiply
    2.19x = 4.02 × 4.02
  4. Step 4: Simplify right side
    2.19x = 16.19
  5. Step 5: Solve for x
    x = 16.19/2.19
  6. Step 6: Final answer
    x = 7.38

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Why These Related Problems?

These problems maintain the same ratio (1.83) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.