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Finding the Third Proportional to 16,296 and 25,920

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Solution

The third proportional to 16,296 and 25,920 is: 41,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,296 : 25,920 = 25,920 : x
  2. Step 2: Convert to fraction form
    16,296/25,920 = 25,920/x
  3. Step 3: Cross multiply
    16,296x = 25,920 × 25,920
  4. Step 4: Simplify right side
    16,296x = 671,846,400
  5. Step 5: Solve for x
    x = 671,846,400/16,296
  6. Step 6: Final answer
    x = 41,227.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.