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Finding the Third Proportional to 18,908.25 and 27,238.50

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Solution

The third proportional to 18,908.25 and 27,238.50 is: 39,238.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,908.25 : 27,238.50 = 27,238.50 : x
  2. Step 2: Convert to fraction form
    18,908.25/27,238.50 = 27,238.50/x
  3. Step 3: Cross multiply
    18,908.25x = 27,238.50 × 27,238.50
  4. Step 4: Simplify right side
    18,908.25x = 741,935,882.25
  5. Step 5: Solve for x
    x = 741,935,882.25/18,908.25
  6. Step 6: Final answer
    x = 39,238.74

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1.5x scale

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.