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Finding the Third Proportional to 17,369 and 37,690

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Solution

The third proportional to 17,369 and 37,690 is: 81,785.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,369 : 37,690 = 37,690 : x
  2. Step 2: Convert to fraction form
    17,369/37,690 = 37,690/x
  3. Step 3: Cross multiply
    17,369x = 37,690 × 37,690
  4. Step 4: Simplify right side
    17,369x = 1,420,536,100
  5. Step 5: Solve for x
    x = 1,420,536,100/17,369
  6. Step 6: Final answer
    x = 81,785.72

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.