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Finding the Third Proportional to 27,108 and 37,941.75

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Solution

The third proportional to 27,108 and 37,941.75 is: 53,105.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,108 : 37,941.75 = 37,941.75 : x
  2. Step 2: Convert to fraction form
    27,108/37,941.75 = 37,941.75/x
  3. Step 3: Cross multiply
    27,108x = 37,941.75 × 37,941.75
  4. Step 4: Simplify right side
    27,108x = 1,439,576,393.06
  5. Step 5: Solve for x
    x = 1,439,576,393.06/27,108
  6. Step 6: Final answer
    x = 53,105.22

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.