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Finding the Third Proportional to 7,901.06 and 16,974.75

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Solution

The third proportional to 7,901.06 and 16,974.75 is: 36,468.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,901.06 : 16,974.75 = 16,974.75 : x
  2. Step 2: Convert to fraction form
    7,901.06/16,974.75 = 16,974.75/x
  3. Step 3: Cross multiply
    7,901.06x = 16,974.75 × 16,974.75
  4. Step 4: Simplify right side
    7,901.06x = 288,142,137.56
  5. Step 5: Solve for x
    x = 288,142,137.56/7,901.06
  6. Step 6: Final answer
    x = 36,468.78

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.