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Finding the Third Proportional to 4,516.59 and 10,879.31

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Solution

The third proportional to 4,516.59 and 10,879.31 is: 26,205.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,516.59 : 10,879.31 = 10,879.31 : x
  2. Step 2: Convert to fraction form
    4,516.59/10,879.31 = 10,879.31/x
  3. Step 3: Cross multiply
    4,516.59x = 10,879.31 × 10,879.31
  4. Step 4: Simplify right side
    4,516.59x = 118,359,440.47
  5. Step 5: Solve for x
    x = 118,359,440.47/4,516.59
  6. Step 6: Final answer
    x = 26,205.47

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.