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Finding the Third Proportional to 31,601 and 47,483

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Solution

The third proportional to 31,601 and 47,483 is: 71,346.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,601 : 47,483 = 47,483 : x
  2. Step 2: Convert to fraction form
    31,601/47,483 = 47,483/x
  3. Step 3: Cross multiply
    31,601x = 47,483 × 47,483
  4. Step 4: Simplify right side
    31,601x = 2,254,635,289
  5. Step 5: Solve for x
    x = 2,254,635,289/31,601
  6. Step 6: Final answer
    x = 71,346.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.