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Finding the Third Proportional to 5,896 and 13,668

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Solution

The third proportional to 5,896 and 13,668 is: 31,684.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896 : 13,668 = 13,668 : x
  2. Step 2: Convert to fraction form
    5,896/13,668 = 13,668/x
  3. Step 3: Cross multiply
    5,896x = 13,668 × 13,668
  4. Step 4: Simplify right side
    5,896x = 186,814,224
  5. Step 5: Solve for x
    x = 186,814,224/5,896
  6. Step 6: Final answer
    x = 31,684.91

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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.