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Finding the Third Proportional to 43,008 and 94,493

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Solution

The third proportional to 43,008 and 94,493 is: 207,610.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,008 : 94,493 = 94,493 : x
  2. Step 2: Convert to fraction form
    43,008/94,493 = 94,493/x
  3. Step 3: Cross multiply
    43,008x = 94,493 × 94,493
  4. Step 4: Simplify right side
    43,008x = 8,928,927,049
  5. Step 5: Solve for x
    x = 8,928,927,049/43,008
  6. Step 6: Final answer
    x = 207,610.84

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.