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Finding the Third Proportional to 6,382.13 and 6,944.06

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Solution

The third proportional to 6,382.13 and 6,944.06 is: 7,555.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.13 : 6,944.06 = 6,944.06 : x
  2. Step 2: Convert to fraction form
    6,382.13/6,944.06 = 6,944.06/x
  3. Step 3: Cross multiply
    6,382.13x = 6,944.06 × 6,944.06
  4. Step 4: Simplify right side
    6,382.13x = 48,220,004.00
  5. Step 5: Solve for x
    x = 48,220,004.00/6,382.13
  6. Step 6: Final answer
    x = 7,555.48

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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.