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Finding the Third Proportional to 38,286 and 82,722

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Solution

The third proportional to 38,286 and 82,722 is: 178,731.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,286 : 82,722 = 82,722 : x
  2. Step 2: Convert to fraction form
    38,286/82,722 = 82,722/x
  3. Step 3: Cross multiply
    38,286x = 82,722 × 82,722
  4. Step 4: Simplify right side
    38,286x = 6,842,929,284
  5. Step 5: Solve for x
    x = 6,842,929,284/38,286
  6. Step 6: Final answer
    x = 178,731.89

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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.