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Finding the Third Proportional to 19,298 and 27,939

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Solution

The third proportional to 19,298 and 27,939 is: 40,449.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,298 : 27,939 = 27,939 : x
  2. Step 2: Convert to fraction form
    19,298/27,939 = 27,939/x
  3. Step 3: Cross multiply
    19,298x = 27,939 × 27,939
  4. Step 4: Simplify right side
    19,298x = 780,587,721
  5. Step 5: Solve for x
    x = 780,587,721/19,298
  6. Step 6: Final answer
    x = 40,449.15

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.