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Finding the Third Proportional to 13,768 and 19,668

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Solution

The third proportional to 13,768 and 19,668 is: 28,096.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,768 : 19,668 = 19,668 : x
  2. Step 2: Convert to fraction form
    13,768/19,668 = 19,668/x
  3. Step 3: Cross multiply
    13,768x = 19,668 × 19,668
  4. Step 4: Simplify right side
    13,768x = 386,830,224
  5. Step 5: Solve for x
    x = 386,830,224/13,768
  6. Step 6: Final answer
    x = 28,096.33

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.