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Finding the Third Proportional to 12,568 and 21,404

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Solution

The third proportional to 12,568 and 21,404 is: 36,452.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,568 : 21,404 = 21,404 : x
  2. Step 2: Convert to fraction form
    12,568/21,404 = 21,404/x
  3. Step 3: Cross multiply
    12,568x = 21,404 × 21,404
  4. Step 4: Simplify right side
    12,568x = 458,131,216
  5. Step 5: Solve for x
    x = 458,131,216/12,568
  6. Step 6: Final answer
    x = 36,452.20

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These problems maintain the same ratio (1.70) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.