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Finding the Third Proportional to 38,237 and 82,333

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Solution

The third proportional to 38,237 and 82,333 is: 177,281.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,237 : 82,333 = 82,333 : x
  2. Step 2: Convert to fraction form
    38,237/82,333 = 82,333/x
  3. Step 3: Cross multiply
    38,237x = 82,333 × 82,333
  4. Step 4: Simplify right side
    38,237x = 6,778,722,889
  5. Step 5: Solve for x
    x = 6,778,722,889/38,237
  6. Step 6: Final answer
    x = 177,281.77

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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.