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Finding the Third Proportional to 17,939 and 37,354

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Solution

The third proportional to 17,939 and 37,354 is: 77,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,939 : 37,354 = 37,354 : x
  2. Step 2: Convert to fraction form
    17,939/37,354 = 37,354/x
  3. Step 3: Cross multiply
    17,939x = 37,354 × 37,354
  4. Step 4: Simplify right side
    17,939x = 1,395,321,316
  5. Step 5: Solve for x
    x = 1,395,321,316/17,939
  6. Step 6: Final answer
    x = 77,781.44

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.