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Finding the Third Proportional to 6,285.66 and 13,092.75

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Solution

The third proportional to 6,285.66 and 13,092.75 is: 27,271.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.66 : 13,092.75 = 13,092.75 : x
  2. Step 2: Convert to fraction form
    6,285.66/13,092.75 = 13,092.75/x
  3. Step 3: Cross multiply
    6,285.66x = 13,092.75 × 13,092.75
  4. Step 4: Simplify right side
    6,285.66x = 171,420,102.56
  5. Step 5: Solve for x
    x = 171,420,102.56/6,285.66
  6. Step 6: Final answer
    x = 27,271.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.