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Finding the Third Proportional to 38,274 and 51,333

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Solution

The third proportional to 38,274 and 51,333 is: 68,847.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,274 : 51,333 = 51,333 : x
  2. Step 2: Convert to fraction form
    38,274/51,333 = 51,333/x
  3. Step 3: Cross multiply
    38,274x = 51,333 × 51,333
  4. Step 4: Simplify right side
    38,274x = 2,635,076,889
  5. Step 5: Solve for x
    x = 2,635,076,889/38,274
  6. Step 6: Final answer
    x = 68,847.70

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.