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Finding the Third Proportional to 8,568 and 12,820

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Solution

The third proportional to 8,568 and 12,820 is: 19,182.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,568 : 12,820 = 12,820 : x
  2. Step 2: Convert to fraction form
    8,568/12,820 = 12,820/x
  3. Step 3: Cross multiply
    8,568x = 12,820 × 12,820
  4. Step 4: Simplify right side
    8,568x = 164,352,400
  5. Step 5: Solve for x
    x = 164,352,400/8,568
  6. Step 6: Final answer
    x = 19,182.12

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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.