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Finding the Third Proportional to 12,756 and 19,142

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Solution

The third proportional to 12,756 and 19,142 is: 28,725.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,756 : 19,142 = 19,142 : x
  2. Step 2: Convert to fraction form
    12,756/19,142 = 19,142/x
  3. Step 3: Cross multiply
    12,756x = 19,142 × 19,142
  4. Step 4: Simplify right side
    12,756x = 366,416,164
  5. Step 5: Solve for x
    x = 366,416,164/12,756
  6. Step 6: Final answer
    x = 28,725.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.