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Finding the Third Proportional to 2,976.75 and 6,349.22

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Solution

The third proportional to 2,976.75 and 6,349.22 is: 13,542.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,976.75 : 6,349.22 = 6,349.22 : x
  2. Step 2: Convert to fraction form
    2,976.75/6,349.22 = 6,349.22/x
  3. Step 3: Cross multiply
    2,976.75x = 6,349.22 × 6,349.22
  4. Step 4: Simplify right side
    2,976.75x = 40,312,578.74
  5. Step 5: Solve for x
    x = 40,312,578.74/2,976.75
  6. Step 6: Final answer
    x = 13,542.48

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.