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Finding the Third Proportional to 13,956 and 16,404

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Solution

The third proportional to 13,956 and 16,404 is: 19,281.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,956 : 16,404 = 16,404 : x
  2. Step 2: Convert to fraction form
    13,956/16,404 = 16,404/x
  3. Step 3: Cross multiply
    13,956x = 16,404 × 16,404
  4. Step 4: Simplify right side
    13,956x = 269,091,216
  5. Step 5: Solve for x
    x = 269,091,216/13,956
  6. Step 6: Final answer
    x = 19,281.40

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.