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Finding the Third Proportional to 7,419 and 11,933

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Solution

The third proportional to 7,419 and 11,933 is: 19,193.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,419 : 11,933 = 11,933 : x
  2. Step 2: Convert to fraction form
    7,419/11,933 = 11,933/x
  3. Step 3: Cross multiply
    7,419x = 11,933 × 11,933
  4. Step 4: Simplify right side
    7,419x = 142,396,489
  5. Step 5: Solve for x
    x = 142,396,489/7,419
  6. Step 6: Final answer
    x = 19,193.49

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.