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Finding the Third Proportional to 4,296 and 4,896

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Solution

The third proportional to 4,296 and 4,896 is: 5,579.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,296 : 4,896 = 4,896 : x
  2. Step 2: Convert to fraction form
    4,296/4,896 = 4,896/x
  3. Step 3: Cross multiply
    4,296x = 4,896 × 4,896
  4. Step 4: Simplify right side
    4,296x = 23,970,816
  5. Step 5: Solve for x
    x = 23,970,816/4,296
  6. Step 6: Final answer
    x = 5,579.80

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Why These Related Problems?

These problems maintain the same ratio (1.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.