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Finding the Third Proportional to 11,944.13 and 16,809.19

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Solution

The third proportional to 11,944.13 and 16,809.19 is: 23,655.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,944.13 : 16,809.19 = 16,809.19 : x
  2. Step 2: Convert to fraction form
    11,944.13/16,809.19 = 16,809.19/x
  3. Step 3: Cross multiply
    11,944.13x = 16,809.19 × 16,809.19
  4. Step 4: Simplify right side
    11,944.13x = 282,548,784.41
  5. Step 5: Solve for x
    x = 282,548,784.41/11,944.13
  6. Step 6: Final answer
    x = 23,655.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.