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Finding the Third Proportional to 13,848 and 16,296

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Solution

The third proportional to 13,848 and 16,296 is: 19,176.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,848 : 16,296 = 16,296 : x
  2. Step 2: Convert to fraction form
    13,848/16,296 = 16,296/x
  3. Step 3: Cross multiply
    13,848x = 16,296 × 16,296
  4. Step 4: Simplify right side
    13,848x = 265,559,616
  5. Step 5: Solve for x
    x = 265,559,616/13,848
  6. Step 6: Final answer
    x = 19,176.75

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Why These Related Problems?

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