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Finding the Third Proportional to 17,788 and 19,804

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Solution

The third proportional to 17,788 and 19,804 is: 22,048.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,788 : 19,804 = 19,804 : x
  2. Step 2: Convert to fraction form
    17,788/19,804 = 19,804/x
  3. Step 3: Cross multiply
    17,788x = 19,804 × 19,804
  4. Step 4: Simplify right side
    17,788x = 392,198,416
  5. Step 5: Solve for x
    x = 392,198,416/17,788
  6. Step 6: Final answer
    x = 22,048.48

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.