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Finding the Third Proportional to 18.02 and 25.83

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Solution

The third proportional to 18.02 and 25.83 is: 37.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    18.02 : 25.83 = 25.83 : x
  2. Step 2: Convert to fraction form
    18.02/25.83 = 25.83/x
  3. Step 3: Cross multiply
    18.02x = 25.83 × 25.83
  4. Step 4: Simplify right side
    18.02x = 667.14
  5. Step 5: Solve for x
    x = 667.14/18.02
  6. Step 6: Final answer
    x = 37.02

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.