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Finding the Third Proportional to 5,643.75 and 13,323.75

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Solution

The third proportional to 5,643.75 and 13,323.75 is: 31,454.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,643.75 : 13,323.75 = 13,323.75 : x
  2. Step 2: Convert to fraction form
    5,643.75/13,323.75 = 13,323.75/x
  3. Step 3: Cross multiply
    5,643.75x = 13,323.75 × 13,323.75
  4. Step 4: Simplify right side
    5,643.75x = 177,522,314.06
  5. Step 5: Solve for x
    x = 177,522,314.06/5,643.75
  6. Step 6: Final answer
    x = 31,454.67

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.