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Finding the Third Proportional to 17,429 and 37,899

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Solution

The third proportional to 17,429 and 37,899 is: 82,410.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,429 : 37,899 = 37,899 : x
  2. Step 2: Convert to fraction form
    17,429/37,899 = 37,899/x
  3. Step 3: Cross multiply
    17,429x = 37,899 × 37,899
  4. Step 4: Simplify right side
    17,429x = 1,436,334,201
  5. Step 5: Solve for x
    x = 1,436,334,201/17,429
  6. Step 6: Final answer
    x = 82,410.59

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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.