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Finding the Third Proportional to 17,978 and 38,763

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Solution

The third proportional to 17,978 and 38,763 is: 83,578.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,978 : 38,763 = 38,763 : x
  2. Step 2: Convert to fraction form
    17,978/38,763 = 38,763/x
  3. Step 3: Cross multiply
    17,978x = 38,763 × 38,763
  4. Step 4: Simplify right side
    17,978x = 1,502,570,169
  5. Step 5: Solve for x
    x = 1,502,570,169/17,978
  6. Step 6: Final answer
    x = 83,578.27

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.