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Finding the Third Proportional to 3,628 and 5,816

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Solution

The third proportional to 3,628 and 5,816 is: 9,323.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628 : 5,816 = 5,816 : x
  2. Step 2: Convert to fraction form
    3,628/5,816 = 5,816/x
  3. Step 3: Cross multiply
    3,628x = 5,816 × 5,816
  4. Step 4: Simplify right side
    3,628x = 33,825,856
  5. Step 5: Solve for x
    x = 33,825,856/3,628
  6. Step 6: Final answer
    x = 9,323.55

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.