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Finding the Third Proportional to 37,956 and 60,324

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Solution

The third proportional to 37,956 and 60,324 is: 95,873.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    37,956 : 60,324 = 60,324 : x
  2. Step 2: Convert to fraction form
    37,956/60,324 = 60,324/x
  3. Step 3: Cross multiply
    37,956x = 60,324 × 60,324
  4. Step 4: Simplify right side
    37,956x = 3,638,984,976
  5. Step 5: Solve for x
    x = 3,638,984,976/37,956
  6. Step 6: Final answer
    x = 95,873.77

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.