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Finding the Third Proportional to 17,407.25 and 35,736.25

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Solution

The third proportional to 17,407.25 and 35,736.25 is: 73,364.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,407.25 : 35,736.25 = 35,736.25 : x
  2. Step 2: Convert to fraction form
    17,407.25/35,736.25 = 35,736.25/x
  3. Step 3: Cross multiply
    17,407.25x = 35,736.25 × 35,736.25
  4. Step 4: Simplify right side
    17,407.25x = 1,277,079,564.06
  5. Step 5: Solve for x
    x = 1,277,079,564.06/17,407.25
  6. Step 6: Final answer
    x = 73,364.81

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These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.