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Finding the Third Proportional to 12,696 and 17,768

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Solution

The third proportional to 12,696 and 17,768 is: 24,866.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696 : 17,768 = 17,768 : x
  2. Step 2: Convert to fraction form
    12,696/17,768 = 17,768/x
  3. Step 3: Cross multiply
    12,696x = 17,768 × 17,768
  4. Step 4: Simplify right side
    12,696x = 315,701,824
  5. Step 5: Solve for x
    x = 315,701,824/12,696
  6. Step 6: Final answer
    x = 24,866.24

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.