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Finding the Third Proportional to 19,012 and 39,356

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Solution

The third proportional to 19,012 and 39,356 is: 81,469.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,012 : 39,356 = 39,356 : x
  2. Step 2: Convert to fraction form
    19,012/39,356 = 39,356/x
  3. Step 3: Cross multiply
    19,012x = 39,356 × 39,356
  4. Step 4: Simplify right side
    19,012x = 1,548,894,736
  5. Step 5: Solve for x
    x = 1,548,894,736/19,012
  6. Step 6: Final answer
    x = 81,469.32

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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.