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Finding the Third Proportional to 4,951.69 and 12,293.44

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Solution

The third proportional to 4,951.69 and 12,293.44 is: 30,520.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,951.69 : 12,293.44 = 12,293.44 : x
  2. Step 2: Convert to fraction form
    4,951.69/12,293.44 = 12,293.44/x
  3. Step 3: Cross multiply
    4,951.69x = 12,293.44 × 12,293.44
  4. Step 4: Simplify right side
    4,951.69x = 151,128,605.57
  5. Step 5: Solve for x
    x = 151,128,605.57/4,951.69
  6. Step 6: Final answer
    x = 30,520.63

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Why These Related Problems?

These problems maintain the same ratio (2.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.