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Finding the Third Proportional to 12,112 and 13,648

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Solution

The third proportional to 12,112 and 13,648 is: 15,378.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,112 : 13,648 = 13,648 : x
  2. Step 2: Convert to fraction form
    12,112/13,648 = 13,648/x
  3. Step 3: Cross multiply
    12,112x = 13,648 × 13,648
  4. Step 4: Simplify right side
    12,112x = 186,267,904
  5. Step 5: Solve for x
    x = 186,267,904/12,112
  6. Step 6: Final answer
    x = 15,378.79

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.