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Finding the Third Proportional to 6,382.13 and 8,945.44

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Solution

The third proportional to 6,382.13 and 8,945.44 is: 12,538.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,382.13 : 8,945.44 = 8,945.44 : x
  2. Step 2: Convert to fraction form
    6,382.13/8,945.44 = 8,945.44/x
  3. Step 3: Cross multiply
    6,382.13x = 8,945.44 × 8,945.44
  4. Step 4: Simplify right side
    6,382.13x = 80,020,852.07
  5. Step 5: Solve for x
    x = 80,020,852.07/6,382.13
  6. Step 6: Final answer
    x = 12,538.28

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.