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Finding the Third Proportional to 3,393.56 and 6,285.94

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Solution

The third proportional to 3,393.56 and 6,285.94 is: 11,643.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,393.56 : 6,285.94 = 6,285.94 : x
  2. Step 2: Convert to fraction form
    3,393.56/6,285.94 = 6,285.94/x
  3. Step 3: Cross multiply
    3,393.56x = 6,285.94 × 6,285.94
  4. Step 4: Simplify right side
    3,393.56x = 39,513,010.25
  5. Step 5: Solve for x
    x = 39,513,010.25/3,393.56
  6. Step 6: Final answer
    x = 11,643.52

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.