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Finding the Third Proportional to 8,010.56 and 16,944.19

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Solution

The third proportional to 8,010.56 and 16,944.19 is: 35,840.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,010.56 : 16,944.19 = 16,944.19 : x
  2. Step 2: Convert to fraction form
    8,010.56/16,944.19 = 16,944.19/x
  3. Step 3: Cross multiply
    8,010.56x = 16,944.19 × 16,944.19
  4. Step 4: Simplify right side
    8,010.56x = 287,105,490.04
  5. Step 5: Solve for x
    x = 287,105,490.04/8,010.56
  6. Step 6: Final answer
    x = 35,840.87

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.