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Finding the Third Proportional to 3,809 and 5,713.50

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Solution

The third proportional to 3,809 and 5,713.50 is: 8,570.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809 : 5,713.50 = 5,713.50 : x
  2. Step 2: Convert to fraction form
    3,809/5,713.50 = 5,713.50/x
  3. Step 3: Cross multiply
    3,809x = 5,713.50 × 5,713.50
  4. Step 4: Simplify right side
    3,809x = 32,644,082.25
  5. Step 5: Solve for x
    x = 32,644,082.25/3,809
  6. Step 6: Final answer
    x = 8,570.25

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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.