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Finding the Third Proportional to 16,945 and 37,121

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Solution

The third proportional to 16,945 and 37,121 is: 81,320.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,945 : 37,121 = 37,121 : x
  2. Step 2: Convert to fraction form
    16,945/37,121 = 37,121/x
  3. Step 3: Cross multiply
    16,945x = 37,121 × 37,121
  4. Step 4: Simplify right side
    16,945x = 1,377,968,641
  5. Step 5: Solve for x
    x = 1,377,968,641/16,945
  6. Step 6: Final answer
    x = 81,320.07

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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.