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Finding the Third Proportional to 23,760 and 48,096

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Solution

The third proportional to 23,760 and 48,096 is: 97,357.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,760 : 48,096 = 48,096 : x
  2. Step 2: Convert to fraction form
    23,760/48,096 = 48,096/x
  3. Step 3: Cross multiply
    23,760x = 48,096 × 48,096
  4. Step 4: Simplify right side
    23,760x = 2,313,225,216
  5. Step 5: Solve for x
    x = 2,313,225,216/23,760
  6. Step 6: Final answer
    x = 97,357.96

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Why These Related Problems?

These problems maintain the same ratio (2.02) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.