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Finding the Third Proportional to 27,350 and 39,110

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Solution

The third proportional to 27,350 and 39,110 is: 55,926.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,350 : 39,110 = 39,110 : x
  2. Step 2: Convert to fraction form
    27,350/39,110 = 39,110/x
  3. Step 3: Cross multiply
    27,350x = 39,110 × 39,110
  4. Step 4: Simplify right side
    27,350x = 1,529,592,100
  5. Step 5: Solve for x
    x = 1,529,592,100/27,350
  6. Step 6: Final answer
    x = 55,926.59

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.