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Finding the Third Proportional to 38,226 and 83,982

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Solution

The third proportional to 38,226 and 83,982 is: 184,507.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,226 : 83,982 = 83,982 : x
  2. Step 2: Convert to fraction form
    38,226/83,982 = 83,982/x
  3. Step 3: Cross multiply
    38,226x = 83,982 × 83,982
  4. Step 4: Simplify right side
    38,226x = 7,052,976,324
  5. Step 5: Solve for x
    x = 7,052,976,324/38,226
  6. Step 6: Final answer
    x = 184,507.31

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.