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Finding the Third Proportional to 16,305.75 and 35,736.75

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Solution

The third proportional to 16,305.75 and 35,736.75 is: 78,323.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,305.75 : 35,736.75 = 35,736.75 : x
  2. Step 2: Convert to fraction form
    16,305.75/35,736.75 = 35,736.75/x
  3. Step 3: Cross multiply
    16,305.75x = 35,736.75 × 35,736.75
  4. Step 4: Simplify right side
    16,305.75x = 1,277,115,300.56
  5. Step 5: Solve for x
    x = 1,277,115,300.56/16,305.75
  6. Step 6: Final answer
    x = 78,323.00

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.