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Finding the Third Proportional to 14,648 and 16,256

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Solution

The third proportional to 14,648 and 16,256 is: 18,040.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,648 : 16,256 = 16,256 : x
  2. Step 2: Convert to fraction form
    14,648/16,256 = 16,256/x
  3. Step 3: Cross multiply
    14,648x = 16,256 × 16,256
  4. Step 4: Simplify right side
    14,648x = 264,257,536
  5. Step 5: Solve for x
    x = 264,257,536/14,648
  6. Step 6: Final answer
    x = 18,040.52

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These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.