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Finding the Third Proportional to 36,441 and 47,848

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Solution

The third proportional to 36,441 and 47,848 is: 62,825.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,441 : 47,848 = 47,848 : x
  2. Step 2: Convert to fraction form
    36,441/47,848 = 47,848/x
  3. Step 3: Cross multiply
    36,441x = 47,848 × 47,848
  4. Step 4: Simplify right side
    36,441x = 2,289,431,104
  5. Step 5: Solve for x
    x = 2,289,431,104/36,441
  6. Step 6: Final answer
    x = 62,825.69

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.