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Finding the Third Proportional to 1.04 and 2.23

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Solution

The third proportional to 1.04 and 2.23 is: 4.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    1.04 : 2.23 = 2.23 : x
  2. Step 2: Convert to fraction form
    1.04/2.23 = 2.23/x
  3. Step 3: Cross multiply
    1.04x = 2.23 × 2.23
  4. Step 4: Simplify right side
    1.04x = 4.98
  5. Step 5: Solve for x
    x = 4.98/1.04
  6. Step 6: Final answer
    x = 4.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.