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Finding the Third Proportional to 27,108 and 39,426.75

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Solution

The third proportional to 27,108 and 39,426.75 is: 57,343.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108 : 39,426.75 = 39,426.75 : x
  2. Step 2: Convert to fraction form
    27,108/39,426.75 = 39,426.75/x
  3. Step 3: Cross multiply
    27,108x = 39,426.75 × 39,426.75
  4. Step 4: Simplify right side
    27,108x = 1,554,468,615.56
  5. Step 5: Solve for x
    x = 1,554,468,615.56/27,108
  6. Step 6: Final answer
    x = 57,343.54

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.