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Finding the Third Proportional to 47,996 and 71,493

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Solution

The third proportional to 47,996 and 71,493 is: 106,493.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,996 : 71,493 = 71,493 : x
  2. Step 2: Convert to fraction form
    47,996/71,493 = 71,493/x
  3. Step 3: Cross multiply
    47,996x = 71,493 × 71,493
  4. Step 4: Simplify right side
    47,996x = 5,111,249,049
  5. Step 5: Solve for x
    x = 5,111,249,049/47,996
  6. Step 6: Final answer
    x = 106,493.23

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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.