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Finding the Third Proportional to 3,689 and 5,537.50

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Solution

The third proportional to 3,689 and 5,537.50 is: 8,312.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,689 : 5,537.50 = 5,537.50 : x
  2. Step 2: Convert to fraction form
    3,689/5,537.50 = 5,537.50/x
  3. Step 3: Cross multiply
    3,689x = 5,537.50 × 5,537.50
  4. Step 4: Simplify right side
    3,689x = 30,663,906.25
  5. Step 5: Solve for x
    x = 30,663,906.25/3,689
  6. Step 6: Final answer
    x = 8,312.25

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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.