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Finding the Third Proportional to 2,843.86 and 6,223.08

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Solution

The third proportional to 2,843.86 and 6,223.08 is: 13,617.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,843.86 : 6,223.08 = 6,223.08 : x
  2. Step 2: Convert to fraction form
    2,843.86/6,223.08 = 6,223.08/x
  3. Step 3: Cross multiply
    2,843.86x = 6,223.08 × 6,223.08
  4. Step 4: Simplify right side
    2,843.86x = 38,726,701.35
  5. Step 5: Solve for x
    x = 38,726,701.35/2,843.86
  6. Step 6: Final answer
    x = 13,617.66

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.