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Finding the Third Proportional to 8,101.27 and 16,849.27

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Solution

The third proportional to 8,101.27 and 16,849.27 is: 35,043.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,101.27 : 16,849.27 = 16,849.27 : x
  2. Step 2: Convert to fraction form
    8,101.27/16,849.27 = 16,849.27/x
  3. Step 3: Cross multiply
    8,101.27x = 16,849.27 × 16,849.27
  4. Step 4: Simplify right side
    8,101.27x = 283,897,752.10
  5. Step 5: Solve for x
    x = 283,897,752.10/8,101.27
  6. Step 6: Final answer
    x = 35,043.63

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.