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Finding the Third Proportional to 18,471.50 and 38,257

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Solution

The third proportional to 18,471.50 and 38,257 is: 79,235.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,471.50 : 38,257 = 38,257 : x
  2. Step 2: Convert to fraction form
    18,471.50/38,257 = 38,257/x
  3. Step 3: Cross multiply
    18,471.50x = 38,257 × 38,257
  4. Step 4: Simplify right side
    18,471.50x = 1,463,598,049
  5. Step 5: Solve for x
    x = 1,463,598,049/18,471.50
  6. Step 6: Final answer
    x = 79,235.47

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.