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Finding the Third Proportional to 16,891 and 37,025

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Solution

The third proportional to 16,891 and 37,025 is: 81,158.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,891 : 37,025 = 37,025 : x
  2. Step 2: Convert to fraction form
    16,891/37,025 = 37,025/x
  3. Step 3: Cross multiply
    16,891x = 37,025 × 37,025
  4. Step 4: Simplify right side
    16,891x = 1,370,850,625
  5. Step 5: Solve for x
    x = 1,370,850,625/16,891
  6. Step 6: Final answer
    x = 81,158.64

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.