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Finding the Third Proportional to 17,962 and 39,071

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Solution

The third proportional to 17,962 and 39,071 is: 84,987.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,962 : 39,071 = 39,071 : x
  2. Step 2: Convert to fraction form
    17,962/39,071 = 39,071/x
  3. Step 3: Cross multiply
    17,962x = 39,071 × 39,071
  4. Step 4: Simplify right side
    17,962x = 1,526,543,041
  5. Step 5: Solve for x
    x = 1,526,543,041/17,962
  6. Step 6: Final answer
    x = 84,987.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.