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Finding the Third Proportional to 27,926 and 40,293

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Solution

The third proportional to 27,926 and 40,293 is: 58,136.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,926 : 40,293 = 40,293 : x
  2. Step 2: Convert to fraction form
    27,926/40,293 = 40,293/x
  3. Step 3: Cross multiply
    27,926x = 40,293 × 40,293
  4. Step 4: Simplify right side
    27,926x = 1,623,525,849
  5. Step 5: Solve for x
    x = 1,623,525,849/27,926
  6. Step 6: Final answer
    x = 58,136.71

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.