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Finding the Third Proportional to 17,736.50 and 27,828.75

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Solution

The third proportional to 17,736.50 and 27,828.75 is: 43,663.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,736.50 : 27,828.75 = 27,828.75 : x
  2. Step 2: Convert to fraction form
    17,736.50/27,828.75 = 27,828.75/x
  3. Step 3: Cross multiply
    17,736.50x = 27,828.75 × 27,828.75
  4. Step 4: Simplify right side
    17,736.50x = 774,439,326.56
  5. Step 5: Solve for x
    x = 774,439,326.56/17,736.50
  6. Step 6: Final answer
    x = 43,663.59

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.