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Finding the Third Proportional to 22,658.62 and 49,379.69

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Solution

The third proportional to 22,658.62 and 49,379.69 is: 107,612.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,658.62 : 49,379.69 = 49,379.69 : x
  2. Step 2: Convert to fraction form
    22,658.62/49,379.69 = 49,379.69/x
  3. Step 3: Cross multiply
    22,658.62x = 49,379.69 × 49,379.69
  4. Step 4: Simplify right side
    22,658.62x = 2,438,354,200.65
  5. Step 5: Solve for x
    x = 2,438,354,200.65/22,658.62
  6. Step 6: Final answer
    x = 107,612.64

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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.