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Finding the Third Proportional to 5,023.41 and 10,939.78

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Solution

The third proportional to 5,023.41 and 10,939.78 is: 23,824.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,023.41 : 10,939.78 = 10,939.78 : x
  2. Step 2: Convert to fraction form
    5,023.41/10,939.78 = 10,939.78/x
  3. Step 3: Cross multiply
    5,023.41x = 10,939.78 × 10,939.78
  4. Step 4: Simplify right side
    5,023.41x = 119,678,813.80
  5. Step 5: Solve for x
    x = 119,678,813.80/5,023.41
  6. Step 6: Final answer
    x = 23,824.24

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.