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Finding the Third Proportional to 19,036 and 27,419

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Solution

The third proportional to 19,036 and 27,419 is: 39,493.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,036 : 27,419 = 27,419 : x
  2. Step 2: Convert to fraction form
    19,036/27,419 = 27,419/x
  3. Step 3: Cross multiply
    19,036x = 27,419 × 27,419
  4. Step 4: Simplify right side
    19,036x = 751,801,561
  5. Step 5: Solve for x
    x = 751,801,561/19,036
  6. Step 6: Final answer
    x = 39,493.67

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.