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Finding the Third Proportional to 9,819 and 13,883

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Solution

The third proportional to 9,819 and 13,883 is: 19,629.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,819 : 13,883 = 13,883 : x
  2. Step 2: Convert to fraction form
    9,819/13,883 = 13,883/x
  3. Step 3: Cross multiply
    9,819x = 13,883 × 13,883
  4. Step 4: Simplify right side
    9,819x = 192,737,689
  5. Step 5: Solve for x
    x = 192,737,689/9,819
  6. Step 6: Final answer
    x = 19,629.05

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.