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Finding the Third Proportional to 39,021.75 and 83,571.75

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Solution

The third proportional to 39,021.75 and 83,571.75 is: 178,983.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,021.75 : 83,571.75 = 83,571.75 : x
  2. Step 2: Convert to fraction form
    39,021.75/83,571.75 = 83,571.75/x
  3. Step 3: Cross multiply
    39,021.75x = 83,571.75 × 83,571.75
  4. Step 4: Simplify right side
    39,021.75x = 6,984,237,398.06
  5. Step 5: Solve for x
    x = 6,984,237,398.06/39,021.75
  6. Step 6: Final answer
    x = 178,983.19

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.