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Finding the Third Proportional to 19,252 and 39,824

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Solution

The third proportional to 19,252 and 39,824 is: 82,378.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,252 : 39,824 = 39,824 : x
  2. Step 2: Convert to fraction form
    19,252/39,824 = 39,824/x
  3. Step 3: Cross multiply
    19,252x = 39,824 × 39,824
  4. Step 4: Simplify right side
    19,252x = 1,585,950,976
  5. Step 5: Solve for x
    x = 1,585,950,976/19,252
  6. Step 6: Final answer
    x = 82,378.50

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.