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Finding the Third Proportional to 23,037.75 and 48,520.69

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Solution

The third proportional to 23,037.75 and 48,520.69 is: 102,191.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,037.75 : 48,520.69 = 48,520.69 : x
  2. Step 2: Convert to fraction form
    23,037.75/48,520.69 = 48,520.69/x
  3. Step 3: Cross multiply
    23,037.75x = 48,520.69 × 48,520.69
  4. Step 4: Simplify right side
    23,037.75x = 2,354,257,115.47
  5. Step 5: Solve for x
    x = 2,354,257,115.47/23,037.75
  6. Step 6: Final answer
    x = 102,191.28

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.