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Finding the Third Proportional to 27,198 and 38,298

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Solution

The third proportional to 27,198 and 38,298 is: 53,928.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,198 : 38,298 = 38,298 : x
  2. Step 2: Convert to fraction form
    27,198/38,298 = 38,298/x
  3. Step 3: Cross multiply
    27,198x = 38,298 × 38,298
  4. Step 4: Simplify right side
    27,198x = 1,466,736,804
  5. Step 5: Solve for x
    x = 1,466,736,804/27,198
  6. Step 6: Final answer
    x = 53,928.11

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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.