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Finding the Third Proportional to 7,804 and 14,104

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Solution

The third proportional to 7,804 and 14,104 is: 25,489.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,804 : 14,104 = 14,104 : x
  2. Step 2: Convert to fraction form
    7,804/14,104 = 14,104/x
  3. Step 3: Cross multiply
    7,804x = 14,104 × 14,104
  4. Step 4: Simplify right side
    7,804x = 198,922,816
  5. Step 5: Solve for x
    x = 198,922,816/7,804
  6. Step 6: Final answer
    x = 25,489.85

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Why These Related Problems?

These problems maintain the same ratio (1.81) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.