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Finding the Third Proportional to 47,996 and 71,494

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Solution

The third proportional to 47,996 and 71,494 is: 106,496.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,996 : 71,494 = 71,494 : x
  2. Step 2: Convert to fraction form
    47,996/71,494 = 71,494/x
  3. Step 3: Cross multiply
    47,996x = 71,494 × 71,494
  4. Step 4: Simplify right side
    47,996x = 5,111,392,036
  5. Step 5: Solve for x
    x = 5,111,392,036/47,996
  6. Step 6: Final answer
    x = 106,496.21

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.