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Finding the Third Proportional to 3,678 and 5,602

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Solution

The third proportional to 3,678 and 5,602 is: 8,532.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,678 : 5,602 = 5,602 : x
  2. Step 2: Convert to fraction form
    3,678/5,602 = 5,602/x
  3. Step 3: Cross multiply
    3,678x = 5,602 × 5,602
  4. Step 4: Simplify right side
    3,678x = 31,382,404
  5. Step 5: Solve for x
    x = 31,382,404/3,678
  6. Step 6: Final answer
    x = 8,532.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.