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Finding the Third Proportional to 2,573.65 and 5,544.07

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Solution

The third proportional to 2,573.65 and 5,544.07 is: 11,942.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,573.65 : 5,544.07 = 5,544.07 : x
  2. Step 2: Convert to fraction form
    2,573.65/5,544.07 = 5,544.07/x
  3. Step 3: Cross multiply
    2,573.65x = 5,544.07 × 5,544.07
  4. Step 4: Simplify right side
    2,573.65x = 30,736,715.63
  5. Step 5: Solve for x
    x = 30,736,715.63/2,573.65
  6. Step 6: Final answer
    x = 11,942.86

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.