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Finding the Third Proportional to 18,299.25 and 24,856.88

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Solution

The third proportional to 18,299.25 and 24,856.88 is: 33,764.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,299.25 : 24,856.88 = 24,856.88 : x
  2. Step 2: Convert to fraction form
    18,299.25/24,856.88 = 24,856.88/x
  3. Step 3: Cross multiply
    18,299.25x = 24,856.88 × 24,856.88
  4. Step 4: Simplify right side
    18,299.25x = 617,864,234.77
  5. Step 5: Solve for x
    x = 617,864,234.77/18,299.25
  6. Step 6: Final answer
    x = 33,764.46

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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.