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Finding the Third Proportional to 27,293 and 43,400

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Solution

The third proportional to 27,293 and 43,400 is: 69,012.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,293 : 43,400 = 43,400 : x
  2. Step 2: Convert to fraction form
    27,293/43,400 = 43,400/x
  3. Step 3: Cross multiply
    27,293x = 43,400 × 43,400
  4. Step 4: Simplify right side
    27,293x = 1,883,560,000
  5. Step 5: Solve for x
    x = 1,883,560,000/27,293
  6. Step 6: Final answer
    x = 69,012.57

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.