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Finding the Third Proportional to 5,774 and 13,589

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Solution

The third proportional to 5,774 and 13,589 is: 31,981.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,774 : 13,589 = 13,589 : x
  2. Step 2: Convert to fraction form
    5,774/13,589 = 13,589/x
  3. Step 3: Cross multiply
    5,774x = 13,589 × 13,589
  4. Step 4: Simplify right side
    5,774x = 184,660,921
  5. Step 5: Solve for x
    x = 184,660,921/5,774
  6. Step 6: Final answer
    x = 31,981.45

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.