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Finding the Third Proportional to 16,456 and 21,956

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Solution

The third proportional to 16,456 and 21,956 is: 29,294.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,456 : 21,956 = 21,956 : x
  2. Step 2: Convert to fraction form
    16,456/21,956 = 21,956/x
  3. Step 3: Cross multiply
    16,456x = 21,956 × 21,956
  4. Step 4: Simplify right side
    16,456x = 482,065,936
  5. Step 5: Solve for x
    x = 482,065,936/16,456
  6. Step 6: Final answer
    x = 29,294.24

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.