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Finding the Third Proportional to 38,837 and 83,207

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Solution

The third proportional to 38,837 and 83,207 is: 178,268.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,837 : 83,207 = 83,207 : x
  2. Step 2: Convert to fraction form
    38,837/83,207 = 83,207/x
  3. Step 3: Cross multiply
    38,837x = 83,207 × 83,207
  4. Step 4: Simplify right side
    38,837x = 6,923,404,849
  5. Step 5: Solve for x
    x = 6,923,404,849/38,837
  6. Step 6: Final answer
    x = 178,268.27

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.