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Finding the Third Proportional to 6,863.06 and 16,453.13

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Solution

The third proportional to 6,863.06 and 16,453.13 is: 39,443.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,863.06 : 16,453.13 = 16,453.13 : x
  2. Step 2: Convert to fraction form
    6,863.06/16,453.13 = 16,453.13/x
  3. Step 3: Cross multiply
    6,863.06x = 16,453.13 × 16,453.13
  4. Step 4: Simplify right side
    6,863.06x = 270,705,322.27
  5. Step 5: Solve for x
    x = 270,705,322.27/6,863.06
  6. Step 6: Final answer
    x = 39,443.81

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Why These Related Problems?

These problems maintain the same ratio (2.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.