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Finding the Third Proportional to 7,941 and 13,323.75

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Solution

The third proportional to 7,941 and 13,323.75 is: 22,355.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,941 : 13,323.75 = 13,323.75 : x
  2. Step 2: Convert to fraction form
    7,941/13,323.75 = 13,323.75/x
  3. Step 3: Cross multiply
    7,941x = 13,323.75 × 13,323.75
  4. Step 4: Simplify right side
    7,941x = 177,522,314.06
  5. Step 5: Solve for x
    x = 177,522,314.06/7,941
  6. Step 6: Final answer
    x = 22,355.16

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Why These Related Problems?

These problems maintain the same ratio (1.68) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.