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Finding the Third Proportional to 2.83 and 5.04

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Solution

The third proportional to 2.83 and 5.04 is: 8.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    2.83 : 5.04 = 5.04 : x
  2. Step 2: Convert to fraction form
    2.83/5.04 = 5.04/x
  3. Step 3: Cross multiply
    2.83x = 5.04 × 5.04
  4. Step 4: Simplify right side
    2.83x = 25.40
  5. Step 5: Solve for x
    x = 25.40/2.83
  6. Step 6: Final answer
    x = 8.98

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Why These Related Problems?

These problems maintain the same ratio (1.78) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.