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Finding the Third Proportional to 23,238 and 55,215

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Solution

The third proportional to 23,238 and 55,215 is: 131,194.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,238 : 55,215 = 55,215 : x
  2. Step 2: Convert to fraction form
    23,238/55,215 = 55,215/x
  3. Step 3: Cross multiply
    23,238x = 55,215 × 55,215
  4. Step 4: Simplify right side
    23,238x = 3,048,696,225
  5. Step 5: Solve for x
    x = 3,048,696,225/23,238
  6. Step 6: Final answer
    x = 131,194.43

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Why These Related Problems?

These problems maintain the same ratio (2.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.