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Finding the Third Proportional to 7,906.99 and 16,986.27

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Solution

The third proportional to 7,906.99 and 16,986.27 is: 36,490.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,906.99 : 16,986.27 = 16,986.27 : x
  2. Step 2: Convert to fraction form
    7,906.99/16,986.27 = 16,986.27/x
  3. Step 3: Cross multiply
    7,906.99x = 16,986.27 × 16,986.27
  4. Step 4: Simplify right side
    7,906.99x = 288,533,352.59
  5. Step 5: Solve for x
    x = 288,533,352.59/7,906.99
  6. Step 6: Final answer
    x = 36,490.91

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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.