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Finding the Third Proportional to 18,736 and 39,566

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Solution

The third proportional to 18,736 and 39,566 is: 83,554.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,736 : 39,566 = 39,566 : x
  2. Step 2: Convert to fraction form
    18,736/39,566 = 39,566/x
  3. Step 3: Cross multiply
    18,736x = 39,566 × 39,566
  4. Step 4: Simplify right side
    18,736x = 1,565,468,356
  5. Step 5: Solve for x
    x = 1,565,468,356/18,736
  6. Step 6: Final answer
    x = 83,554.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.