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Finding the Third Proportional to 16,976.25 and 28,289.25

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Solution

The third proportional to 16,976.25 and 28,289.25 is: 47,141.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,976.25 : 28,289.25 = 28,289.25 : x
  2. Step 2: Convert to fraction form
    16,976.25/28,289.25 = 28,289.25/x
  3. Step 3: Cross multiply
    16,976.25x = 28,289.25 × 28,289.25
  4. Step 4: Simplify right side
    16,976.25x = 800,281,665.56
  5. Step 5: Solve for x
    x = 800,281,665.56/16,976.25
  6. Step 6: Final answer
    x = 47,141.25

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These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.