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Finding the Third Proportional to 17,739 and 38,697.75

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Solution

The third proportional to 17,739 and 38,697.75 is: 84,419.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,739 : 38,697.75 = 38,697.75 : x
  2. Step 2: Convert to fraction form
    17,739/38,697.75 = 38,697.75/x
  3. Step 3: Cross multiply
    17,739x = 38,697.75 × 38,697.75
  4. Step 4: Simplify right side
    17,739x = 1,497,515,855.06
  5. Step 5: Solve for x
    x = 1,497,515,855.06/17,739
  6. Step 6: Final answer
    x = 84,419.41

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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.