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Finding the Third Proportional to 18,976.50 and 24,769.13

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Solution

The third proportional to 18,976.50 and 24,769.13 is: 32,329.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,976.50 : 24,769.13 = 24,769.13 : x
  2. Step 2: Convert to fraction form
    18,976.50/24,769.13 = 24,769.13/x
  3. Step 3: Cross multiply
    18,976.50x = 24,769.13 × 24,769.13
  4. Step 4: Simplify right side
    18,976.50x = 613,509,553.27
  5. Step 5: Solve for x
    x = 613,509,553.27/18,976.50
  6. Step 6: Final answer
    x = 32,329.96

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.