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Finding the Third Proportional to 16,709.25 and 22,698.75

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Solution

The third proportional to 16,709.25 and 22,698.75 is: 30,835.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,709.25 : 22,698.75 = 22,698.75 : x
  2. Step 2: Convert to fraction form
    16,709.25/22,698.75 = 22,698.75/x
  3. Step 3: Cross multiply
    16,709.25x = 22,698.75 × 22,698.75
  4. Step 4: Simplify right side
    16,709.25x = 515,233,251.56
  5. Step 5: Solve for x
    x = 515,233,251.56/16,709.25
  6. Step 6: Final answer
    x = 30,835.21

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.