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Finding the Third Proportional to 5,895 and 12,975

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Solution

The third proportional to 5,895 and 12,975 is: 28,558.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,895 : 12,975 = 12,975 : x
  2. Step 2: Convert to fraction form
    5,895/12,975 = 12,975/x
  3. Step 3: Cross multiply
    5,895x = 12,975 × 12,975
  4. Step 4: Simplify right side
    5,895x = 168,350,625
  5. Step 5: Solve for x
    x = 168,350,625/5,895
  6. Step 6: Final answer
    x = 28,558.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.