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Finding the Third Proportional to 3,584.74 and 5,271.33

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Solution

The third proportional to 3,584.74 and 5,271.33 is: 7,751.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,584.74 : 5,271.33 = 5,271.33 : x
  2. Step 2: Convert to fraction form
    3,584.74/5,271.33 = 5,271.33/x
  3. Step 3: Cross multiply
    3,584.74x = 5,271.33 × 5,271.33
  4. Step 4: Simplify right side
    3,584.74x = 27,786,900.20
  5. Step 5: Solve for x
    x = 27,786,900.20/3,584.74
  6. Step 6: Final answer
    x = 7,751.44

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.