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Finding the Third Proportional to 3,529 and 5,293.50

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Solution

The third proportional to 3,529 and 5,293.50 is: 7,940.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529 : 5,293.50 = 5,293.50 : x
  2. Step 2: Convert to fraction form
    3,529/5,293.50 = 5,293.50/x
  3. Step 3: Cross multiply
    3,529x = 5,293.50 × 5,293.50
  4. Step 4: Simplify right side
    3,529x = 28,021,142.25
  5. Step 5: Solve for x
    x = 28,021,142.25/3,529
  6. Step 6: Final answer
    x = 7,940.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.