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Finding the Third Proportional to 16,986.38 and 36,028.13

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Solution

The third proportional to 16,986.38 and 36,028.13 is: 76,415.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,986.38 : 36,028.13 = 36,028.13 : x
  2. Step 2: Convert to fraction form
    16,986.38/36,028.13 = 36,028.13/x
  3. Step 3: Cross multiply
    16,986.38x = 36,028.13 × 36,028.13
  4. Step 4: Simplify right side
    16,986.38x = 1,298,025,791.02
  5. Step 5: Solve for x
    x = 1,298,025,791.02/16,986.38
  6. Step 6: Final answer
    x = 76,415.70

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.