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Finding the Third Proportional to 6,305 and 6,863

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Solution

The third proportional to 6,305 and 6,863 is: 7,470.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,305 : 6,863 = 6,863 : x
  2. Step 2: Convert to fraction form
    6,305/6,863 = 6,863/x
  3. Step 3: Cross multiply
    6,305x = 6,863 × 6,863
  4. Step 4: Simplify right side
    6,305x = 47,100,769
  5. Step 5: Solve for x
    x = 47,100,769/6,305
  6. Step 6: Final answer
    x = 7,470.38

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.