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Finding the Third Proportional to 16,409.25 and 35,826.75

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Solution

The third proportional to 16,409.25 and 35,826.75 is: 78,221.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,409.25 : 35,826.75 = 35,826.75 : x
  2. Step 2: Convert to fraction form
    16,409.25/35,826.75 = 35,826.75/x
  3. Step 3: Cross multiply
    16,409.25x = 35,826.75 × 35,826.75
  4. Step 4: Simplify right side
    16,409.25x = 1,283,556,015.56
  5. Step 5: Solve for x
    x = 1,283,556,015.56/16,409.25
  6. Step 6: Final answer
    x = 78,221.49

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.