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Finding the Third Proportional to 27,942 and 43,293

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Solution

The third proportional to 27,942 and 43,293 is: 67,077.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,942 : 43,293 = 43,293 : x
  2. Step 2: Convert to fraction form
    27,942/43,293 = 43,293/x
  3. Step 3: Cross multiply
    27,942x = 43,293 × 43,293
  4. Step 4: Simplify right side
    27,942x = 1,874,283,849
  5. Step 5: Solve for x
    x = 1,874,283,849/27,942
  6. Step 6: Final answer
    x = 67,077.66

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.