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Finding the Third Proportional to 8,756 and 19,084

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Solution

The third proportional to 8,756 and 19,084 is: 41,594.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,756 : 19,084 = 19,084 : x
  2. Step 2: Convert to fraction form
    8,756/19,084 = 19,084/x
  3. Step 3: Cross multiply
    8,756x = 19,084 × 19,084
  4. Step 4: Simplify right side
    8,756x = 364,199,056
  5. Step 5: Solve for x
    x = 364,199,056/8,756
  6. Step 6: Final answer
    x = 41,594.23

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.