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Finding the Third Proportional to 13,443.75 and 27,750.75

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Solution

The third proportional to 13,443.75 and 27,750.75 is: 57,283.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,443.75 : 27,750.75 = 27,750.75 : x
  2. Step 2: Convert to fraction form
    13,443.75/27,750.75 = 27,750.75/x
  3. Step 3: Cross multiply
    13,443.75x = 27,750.75 × 27,750.75
  4. Step 4: Simplify right side
    13,443.75x = 770,104,125.56
  5. Step 5: Solve for x
    x = 770,104,125.56/13,443.75
  6. Step 6: Final answer
    x = 57,283.43

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.