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Finding the Third Proportional to 46,230.75 and 50,149.13

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Solution

The third proportional to 46,230.75 and 50,149.13 is: 54,399.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,230.75 : 50,149.13 = 50,149.13 : x
  2. Step 2: Convert to fraction form
    46,230.75/50,149.13 = 50,149.13/x
  3. Step 3: Cross multiply
    46,230.75x = 50,149.13 × 50,149.13
  4. Step 4: Simplify right side
    46,230.75x = 2,514,934,738.27
  5. Step 5: Solve for x
    x = 2,514,934,738.27/46,230.75
  6. Step 6: Final answer
    x = 54,399.61

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Why These Related Problems?

These problems maintain the same ratio (1.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.