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Finding the Third Proportional to 18,183 and 24,682.50

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Solution

The third proportional to 18,183 and 24,682.50 is: 33,505.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,183 : 24,682.50 = 24,682.50 : x
  2. Step 2: Convert to fraction form
    18,183/24,682.50 = 24,682.50/x
  3. Step 3: Cross multiply
    18,183x = 24,682.50 × 24,682.50
  4. Step 4: Simplify right side
    18,183x = 609,225,806.25
  5. Step 5: Solve for x
    x = 609,225,806.25/18,183
  6. Step 6: Final answer
    x = 33,505.24

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.