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Finding the Third Proportional to 24,096 and 49,680

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Solution

The third proportional to 24,096 and 49,680 is: 102,427.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    24,096 : 49,680 = 49,680 : x
  2. Step 2: Convert to fraction form
    24,096/49,680 = 49,680/x
  3. Step 3: Cross multiply
    24,096x = 49,680 × 49,680
  4. Step 4: Simplify right side
    24,096x = 2,468,102,400
  5. Step 5: Solve for x
    x = 2,468,102,400/24,096
  6. Step 6: Final answer
    x = 102,427.89

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.