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Finding the Third Proportional to 6,736.13 and 14,322.75

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Solution

The third proportional to 6,736.13 and 14,322.75 is: 30,453.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,736.13 : 14,322.75 = 14,322.75 : x
  2. Step 2: Convert to fraction form
    6,736.13/14,322.75 = 14,322.75/x
  3. Step 3: Cross multiply
    6,736.13x = 14,322.75 × 14,322.75
  4. Step 4: Simplify right side
    6,736.13x = 205,141,167.56
  5. Step 5: Solve for x
    x = 205,141,167.56/6,736.13
  6. Step 6: Final answer
    x = 30,453.88

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.