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Finding the Third Proportional to 19,373 and 39,566

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Solution

The third proportional to 19,373 and 39,566 is: 80,806.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,373 : 39,566 = 39,566 : x
  2. Step 2: Convert to fraction form
    19,373/39,566 = 39,566/x
  3. Step 3: Cross multiply
    19,373x = 39,566 × 39,566
  4. Step 4: Simplify right side
    19,373x = 1,565,468,356
  5. Step 5: Solve for x
    x = 1,565,468,356/19,373
  6. Step 6: Final answer
    x = 80,806.71

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.