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Finding the Third Proportional to 5,940.84 and 13,062.94

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Solution

The third proportional to 5,940.84 and 13,062.94 is: 28,723.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,940.84 : 13,062.94 = 13,062.94 : x
  2. Step 2: Convert to fraction form
    5,940.84/13,062.94 = 13,062.94/x
  3. Step 3: Cross multiply
    5,940.84x = 13,062.94 × 13,062.94
  4. Step 4: Simplify right side
    5,940.84x = 170,640,336.13
  5. Step 5: Solve for x
    x = 170,640,336.13/5,940.84
  6. Step 6: Final answer
    x = 28,723.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.