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Finding the Third Proportional to 3,529 and 7,893.50

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Solution

The third proportional to 3,529 and 7,893.50 is: 17,655.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,529 : 7,893.50 = 7,893.50 : x
  2. Step 2: Convert to fraction form
    3,529/7,893.50 = 7,893.50/x
  3. Step 3: Cross multiply
    3,529x = 7,893.50 × 7,893.50
  4. Step 4: Simplify right side
    3,529x = 62,307,342.25
  5. Step 5: Solve for x
    x = 62,307,342.25/3,529
  6. Step 6: Final answer
    x = 17,655.81

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Why These Related Problems?

These problems maintain the same ratio (2.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.