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Finding the Third Proportional to 3,651.75 and 5,814.28

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Solution

The third proportional to 3,651.75 and 5,814.28 is: 9,257.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,651.75 : 5,814.28 = 5,814.28 : x
  2. Step 2: Convert to fraction form
    3,651.75/5,814.28 = 5,814.28/x
  3. Step 3: Cross multiply
    3,651.75x = 5,814.28 × 5,814.28
  4. Step 4: Simplify right side
    3,651.75x = 33,805,866.45
  5. Step 5: Solve for x
    x = 33,805,866.45/3,651.75
  6. Step 6: Final answer
    x = 9,257.44

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.