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Finding the Third Proportional to 2,143.50 and 5,568.75

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Solution

The third proportional to 2,143.50 and 5,568.75 is: 14,467.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,143.50 : 5,568.75 = 5,568.75 : x
  2. Step 2: Convert to fraction form
    2,143.50/5,568.75 = 5,568.75/x
  3. Step 3: Cross multiply
    2,143.50x = 5,568.75 × 5,568.75
  4. Step 4: Simplify right side
    2,143.50x = 31,010,976.56
  5. Step 5: Solve for x
    x = 31,010,976.56/2,143.50
  6. Step 6: Final answer
    x = 14,467.45

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Why These Related Problems?

These problems maintain the same ratio (2.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.