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Finding the Third Proportional to 9,257 and 13,879

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Solution

The third proportional to 9,257 and 13,879 is: 20,808.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,257 : 13,879 = 13,879 : x
  2. Step 2: Convert to fraction form
    9,257/13,879 = 13,879/x
  3. Step 3: Cross multiply
    9,257x = 13,879 × 13,879
  4. Step 4: Simplify right side
    9,257x = 192,626,641
  5. Step 5: Solve for x
    x = 192,626,641/9,257
  6. Step 6: Final answer
    x = 20,808.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.