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Finding the Third Proportional to 4,764 and 11,544

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Solution

The third proportional to 4,764 and 11,544 is: 27,973.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,764 : 11,544 = 11,544 : x
  2. Step 2: Convert to fraction form
    4,764/11,544 = 11,544/x
  3. Step 3: Cross multiply
    4,764x = 11,544 × 11,544
  4. Step 4: Simplify right side
    4,764x = 133,263,936
  5. Step 5: Solve for x
    x = 133,263,936/4,764
  6. Step 6: Final answer
    x = 27,973.12

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Why These Related Problems?

These problems maintain the same ratio (2.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.