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Finding the Third Proportional to 36,848 and 52,120

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Solution

The third proportional to 36,848 and 52,120 is: 73,721.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,848 : 52,120 = 52,120 : x
  2. Step 2: Convert to fraction form
    36,848/52,120 = 52,120/x
  3. Step 3: Cross multiply
    36,848x = 52,120 × 52,120
  4. Step 4: Simplify right side
    36,848x = 2,716,494,400
  5. Step 5: Solve for x
    x = 2,716,494,400/36,848
  6. Step 6: Final answer
    x = 73,721.62

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.