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Finding the Third Proportional to 19,092 and 27,538

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Solution

The third proportional to 19,092 and 27,538 is: 39,720.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,092 : 27,538 = 27,538 : x
  2. Step 2: Convert to fraction form
    19,092/27,538 = 27,538/x
  3. Step 3: Cross multiply
    19,092x = 27,538 × 27,538
  4. Step 4: Simplify right side
    19,092x = 758,341,444
  5. Step 5: Solve for x
    x = 758,341,444/19,092
  6. Step 6: Final answer
    x = 39,720.38

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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.