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Finding the Third Proportional to 4,806.84 and 12,144.94

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Solution

The third proportional to 4,806.84 and 12,144.94 is: 30,685.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.84 : 12,144.94 = 12,144.94 : x
  2. Step 2: Convert to fraction form
    4,806.84/12,144.94 = 12,144.94/x
  3. Step 3: Cross multiply
    4,806.84x = 12,144.94 × 12,144.94
  4. Step 4: Simplify right side
    4,806.84x = 147,499,506.88
  5. Step 5: Solve for x
    x = 147,499,506.88/4,806.84
  6. Step 6: Final answer
    x = 30,685.31

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These problems maintain the same ratio (2.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.