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Finding the Third Proportional to 6,285.94 and 13,164.19

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Solution

The third proportional to 6,285.94 and 13,164.19 is: 27,568.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,285.94 : 13,164.19 = 13,164.19 : x
  2. Step 2: Convert to fraction form
    6,285.94/13,164.19 = 13,164.19/x
  3. Step 3: Cross multiply
    6,285.94x = 13,164.19 × 13,164.19
  4. Step 4: Simplify right side
    6,285.94x = 173,295,832.54
  5. Step 5: Solve for x
    x = 173,295,832.54/6,285.94
  6. Step 6: Final answer
    x = 27,568.81

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.