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Finding the Third Proportional to 12,696 and 19,260

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Solution

The third proportional to 12,696 and 19,260 is: 29,217.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,696 : 19,260 = 19,260 : x
  2. Step 2: Convert to fraction form
    12,696/19,260 = 19,260/x
  3. Step 3: Cross multiply
    12,696x = 19,260 × 19,260
  4. Step 4: Simplify right side
    12,696x = 370,947,600
  5. Step 5: Solve for x
    x = 370,947,600/12,696
  6. Step 6: Final answer
    x = 29,217.67

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.