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Finding the Third Proportional to 9,314 and 19,704

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Solution

The third proportional to 9,314 and 19,704 is: 41,684.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,314 : 19,704 = 19,704 : x
  2. Step 2: Convert to fraction form
    9,314/19,704 = 19,704/x
  3. Step 3: Cross multiply
    9,314x = 19,704 × 19,704
  4. Step 4: Simplify right side
    9,314x = 388,247,616
  5. Step 5: Solve for x
    x = 388,247,616/9,314
  6. Step 6: Final answer
    x = 41,684.30

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.