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Finding the Third Proportional to 7,704 and 11,790

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Solution

The third proportional to 7,704 and 11,790 is: 18,043.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,704 : 11,790 = 11,790 : x
  2. Step 2: Convert to fraction form
    7,704/11,790 = 11,790/x
  3. Step 3: Cross multiply
    7,704x = 11,790 × 11,790
  4. Step 4: Simplify right side
    7,704x = 139,004,100
  5. Step 5: Solve for x
    x = 139,004,100/7,704
  6. Step 6: Final answer
    x = 18,043.11

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.