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Finding the Third Proportional to 17,773 and 38,279

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Solution

The third proportional to 17,773 and 38,279 is: 82,444.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,773 : 38,279 = 38,279 : x
  2. Step 2: Convert to fraction form
    17,773/38,279 = 38,279/x
  3. Step 3: Cross multiply
    17,773x = 38,279 × 38,279
  4. Step 4: Simplify right side
    17,773x = 1,465,281,841
  5. Step 5: Solve for x
    x = 1,465,281,841/17,773
  6. Step 6: Final answer
    x = 82,444.26

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.