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Finding the Third Proportional to 17,976 and 19,704

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Solution

The third proportional to 17,976 and 19,704 is: 21,598.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,976 : 19,704 = 19,704 : x
  2. Step 2: Convert to fraction form
    17,976/19,704 = 19,704/x
  3. Step 3: Cross multiply
    17,976x = 19,704 × 19,704
  4. Step 4: Simplify right side
    17,976x = 388,247,616
  5. Step 5: Solve for x
    x = 388,247,616/17,976
  6. Step 6: Final answer
    x = 21,598.11

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These problems maintain the same ratio (1.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.