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Finding the Third Proportional to 12,296 and 16,354

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Solution

The third proportional to 12,296 and 16,354 is: 21,751.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,296 : 16,354 = 16,354 : x
  2. Step 2: Convert to fraction form
    12,296/16,354 = 16,354/x
  3. Step 3: Cross multiply
    12,296x = 16,354 × 16,354
  4. Step 4: Simplify right side
    12,296x = 267,453,316
  5. Step 5: Solve for x
    x = 267,453,316/12,296
  6. Step 6: Final answer
    x = 21,751.25

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Why These Related Problems?

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