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Finding the Third Proportional to 23,724 and 36,215

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Solution

The third proportional to 23,724 and 36,215 is: 55,282.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,724 : 36,215 = 36,215 : x
  2. Step 2: Convert to fraction form
    23,724/36,215 = 36,215/x
  3. Step 3: Cross multiply
    23,724x = 36,215 × 36,215
  4. Step 4: Simplify right side
    23,724x = 1,311,526,225
  5. Step 5: Solve for x
    x = 1,311,526,225/23,724
  6. Step 6: Final answer
    x = 55,282.68

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.