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Finding the Third Proportional to 17,299 and 38,071

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Solution

The third proportional to 17,299 and 38,071 is: 83,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,299 : 38,071 = 38,071 : x
  2. Step 2: Convert to fraction form
    17,299/38,071 = 38,071/x
  3. Step 3: Cross multiply
    17,299x = 38,071 × 38,071
  4. Step 4: Simplify right side
    17,299x = 1,449,401,041
  5. Step 5: Solve for x
    x = 1,449,401,041/17,299
  6. Step 6: Final answer
    x = 83,785.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.