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Finding the Third Proportional to 2,912.84 and 4,855.57

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Solution

The third proportional to 2,912.84 and 4,855.57 is: 8,094.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,912.84 : 4,855.57 = 4,855.57 : x
  2. Step 2: Convert to fraction form
    2,912.84/4,855.57 = 4,855.57/x
  3. Step 3: Cross multiply
    2,912.84x = 4,855.57 × 4,855.57
  4. Step 4: Simplify right side
    2,912.84x = 23,576,563.06
  5. Step 5: Solve for x
    x = 23,576,563.06/2,912.84
  6. Step 6: Final answer
    x = 8,094.02

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.