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Finding the Third Proportional to 37,956 and 52,627

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Solution

The third proportional to 37,956 and 52,627 is: 72,968.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,956 : 52,627 = 52,627 : x
  2. Step 2: Convert to fraction form
    37,956/52,627 = 52,627/x
  3. Step 3: Cross multiply
    37,956x = 52,627 × 52,627
  4. Step 4: Simplify right side
    37,956x = 2,769,601,129
  5. Step 5: Solve for x
    x = 2,769,601,129/37,956
  6. Step 6: Final answer
    x = 72,968.73

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.