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Finding the Third Proportional to 5,794.94 and 12,513.78

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Solution

The third proportional to 5,794.94 and 12,513.78 is: 27,022.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.94 : 12,513.78 = 12,513.78 : x
  2. Step 2: Convert to fraction form
    5,794.94/12,513.78 = 12,513.78/x
  3. Step 3: Cross multiply
    5,794.94x = 12,513.78 × 12,513.78
  4. Step 4: Simplify right side
    5,794.94x = 156,594,721.17
  5. Step 5: Solve for x
    x = 156,594,721.17/5,794.94
  6. Step 6: Final answer
    x = 27,022.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.