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Finding the Third Proportional to 4,896 and 10,764

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Solution

The third proportional to 4,896 and 10,764 is: 23,664.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,896 : 10,764 = 10,764 : x
  2. Step 2: Convert to fraction form
    4,896/10,764 = 10,764/x
  3. Step 3: Cross multiply
    4,896x = 10,764 × 10,764
  4. Step 4: Simplify right side
    4,896x = 115,863,696
  5. Step 5: Solve for x
    x = 115,863,696/4,896
  6. Step 6: Final answer
    x = 23,664.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.