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Finding the Third Proportional to 14,118 and 21,200

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Solution

The third proportional to 14,118 and 21,200 is: 31,834.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,118 : 21,200 = 21,200 : x
  2. Step 2: Convert to fraction form
    14,118/21,200 = 21,200/x
  3. Step 3: Cross multiply
    14,118x = 21,200 × 21,200
  4. Step 4: Simplify right side
    14,118x = 449,440,000
  5. Step 5: Solve for x
    x = 449,440,000/14,118
  6. Step 6: Final answer
    x = 31,834.54

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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.