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Finding the Third Proportional to 27,884.25 and 39,912.75

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Solution

The third proportional to 27,884.25 and 39,912.75 is: 57,130.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,884.25 : 39,912.75 = 39,912.75 : x
  2. Step 2: Convert to fraction form
    27,884.25/39,912.75 = 39,912.75/x
  3. Step 3: Cross multiply
    27,884.25x = 39,912.75 × 39,912.75
  4. Step 4: Simplify right side
    27,884.25x = 1,593,027,612.56
  5. Step 5: Solve for x
    x = 1,593,027,612.56/27,884.25
  6. Step 6: Final answer
    x = 57,130.01

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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.