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Finding the Third Proportional to 5,880 and 13,647

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Solution

The third proportional to 5,880 and 13,647 is: 31,673.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,880 : 13,647 = 13,647 : x
  2. Step 2: Convert to fraction form
    5,880/13,647 = 13,647/x
  3. Step 3: Cross multiply
    5,880x = 13,647 × 13,647
  4. Step 4: Simplify right side
    5,880x = 186,240,609
  5. Step 5: Solve for x
    x = 186,240,609/5,880
  6. Step 6: Final answer
    x = 31,673.57

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.