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Finding the Third Proportional to 6,014.25 and 13,689

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Solution

The third proportional to 6,014.25 and 13,689 is: 31,157.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,014.25 : 13,689 = 13,689 : x
  2. Step 2: Convert to fraction form
    6,014.25/13,689 = 13,689/x
  3. Step 3: Cross multiply
    6,014.25x = 13,689 × 13,689
  4. Step 4: Simplify right side
    6,014.25x = 187,388,721
  5. Step 5: Solve for x
    x = 187,388,721/6,014.25
  6. Step 6: Final answer
    x = 31,157.45

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Why These Related Problems?

These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.