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Finding the Third Proportional to 6,375 and 6,843

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Solution

The third proportional to 6,375 and 6,843 is: 7,345.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,375 : 6,843 = 6,843 : x
  2. Step 2: Convert to fraction form
    6,375/6,843 = 6,843/x
  3. Step 3: Cross multiply
    6,375x = 6,843 × 6,843
  4. Step 4: Simplify right side
    6,375x = 46,826,649
  5. Step 5: Solve for x
    x = 46,826,649/6,375
  6. Step 6: Final answer
    x = 7,345.36

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.