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Finding the Third Proportional to 2,146.46 and 4,576.44

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Solution

The third proportional to 2,146.46 and 4,576.44 is: 9,757.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.46 : 4,576.44 = 4,576.44 : x
  2. Step 2: Convert to fraction form
    2,146.46/4,576.44 = 4,576.44/x
  3. Step 3: Cross multiply
    2,146.46x = 4,576.44 × 4,576.44
  4. Step 4: Simplify right side
    2,146.46x = 20,943,775.72
  5. Step 5: Solve for x
    x = 20,943,775.72/2,146.46
  6. Step 6: Final answer
    x = 9,757.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.