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Finding the Third Proportional to 6,846 and 9,782.75

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Solution

The third proportional to 6,846 and 9,782.75 is: 13,979.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,846 : 9,782.75 = 9,782.75 : x
  2. Step 2: Convert to fraction form
    6,846/9,782.75 = 9,782.75/x
  3. Step 3: Cross multiply
    6,846x = 9,782.75 × 9,782.75
  4. Step 4: Simplify right side
    6,846x = 95,702,197.56
  5. Step 5: Solve for x
    x = 95,702,197.56/6,846
  6. Step 6: Final answer
    x = 13,979.29

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.