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Finding the Third Proportional to 38,956 and 85,282

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Solution

The third proportional to 38,956 and 85,282 is: 186,698.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,956 : 85,282 = 85,282 : x
  2. Step 2: Convert to fraction form
    38,956/85,282 = 85,282/x
  3. Step 3: Cross multiply
    38,956x = 85,282 × 85,282
  4. Step 4: Simplify right side
    38,956x = 7,273,019,524
  5. Step 5: Solve for x
    x = 7,273,019,524/38,956
  6. Step 6: Final answer
    x = 186,698.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.