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Finding the Third Proportional to 8,384.50 and 20,483

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Solution

The third proportional to 8,384.50 and 20,483 is: 50,039.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,384.50 : 20,483 = 20,483 : x
  2. Step 2: Convert to fraction form
    8,384.50/20,483 = 20,483/x
  3. Step 3: Cross multiply
    8,384.50x = 20,483 × 20,483
  4. Step 4: Simplify right side
    8,384.50x = 419,553,289
  5. Step 5: Solve for x
    x = 419,553,289/8,384.50
  6. Step 6: Final answer
    x = 50,039.15

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.