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Finding the Third Proportional to 10,384.45 and 22,845.80

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Solution

The third proportional to 10,384.45 and 22,845.80 is: 50,260.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,384.45 : 22,845.80 = 22,845.80 : x
  2. Step 2: Convert to fraction form
    10,384.45/22,845.80 = 22,845.80/x
  3. Step 3: Cross multiply
    10,384.45x = 22,845.80 × 22,845.80
  4. Step 4: Simplify right side
    10,384.45x = 521,930,434.85
  5. Step 5: Solve for x
    x = 521,930,434.85/10,384.45
  6. Step 6: Final answer
    x = 50,260.75

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.