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Finding the Third Proportional to 39,573 and 91,533

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Solution

The third proportional to 39,573 and 91,533 is: 211,717.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,573 : 91,533 = 91,533 : x
  2. Step 2: Convert to fraction form
    39,573/91,533 = 91,533/x
  3. Step 3: Cross multiply
    39,573x = 91,533 × 91,533
  4. Step 4: Simplify right side
    39,573x = 8,378,290,089
  5. Step 5: Solve for x
    x = 8,378,290,089/39,573
  6. Step 6: Final answer
    x = 211,717.33

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.