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Finding the Third Proportional to 2,296 and 4,951

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Solution

The third proportional to 2,296 and 4,951 is: 10,676.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,296 : 4,951 = 4,951 : x
  2. Step 2: Convert to fraction form
    2,296/4,951 = 4,951/x
  3. Step 3: Cross multiply
    2,296x = 4,951 × 4,951
  4. Step 4: Simplify right side
    2,296x = 24,512,401
  5. Step 5: Solve for x
    x = 24,512,401/2,296
  6. Step 6: Final answer
    x = 10,676.13

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.