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Finding the Third Proportional to 16,236.50 and 24,355

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Solution

The third proportional to 16,236.50 and 24,355 is: 36,532.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,236.50 : 24,355 = 24,355 : x
  2. Step 2: Convert to fraction form
    16,236.50/24,355 = 24,355/x
  3. Step 3: Cross multiply
    16,236.50x = 24,355 × 24,355
  4. Step 4: Simplify right side
    16,236.50x = 593,166,025
  5. Step 5: Solve for x
    x = 593,166,025/16,236.50
  6. Step 6: Final answer
    x = 36,532.88

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.