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Finding the Third Proportional to 16,930 and 37,141

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Solution

The third proportional to 16,930 and 37,141 is: 81,479.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,930 : 37,141 = 37,141 : x
  2. Step 2: Convert to fraction form
    16,930/37,141 = 37,141/x
  3. Step 3: Cross multiply
    16,930x = 37,141 × 37,141
  4. Step 4: Simplify right side
    16,930x = 1,379,453,881
  5. Step 5: Solve for x
    x = 1,379,453,881/16,930
  6. Step 6: Final answer
    x = 81,479.85

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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.