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Finding the Third Proportional to 16,467 and 23,319

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Solution

The third proportional to 16,467 and 23,319 is: 33,022.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,467 : 23,319 = 23,319 : x
  2. Step 2: Convert to fraction form
    16,467/23,319 = 23,319/x
  3. Step 3: Cross multiply
    16,467x = 23,319 × 23,319
  4. Step 4: Simplify right side
    16,467x = 543,775,761
  5. Step 5: Solve for x
    x = 543,775,761/16,467
  6. Step 6: Final answer
    x = 33,022.15

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.