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Finding the Third Proportional to 9,809 and 21,255

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Solution

The third proportional to 9,809 and 21,255 is: 46,057.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,809 : 21,255 = 21,255 : x
  2. Step 2: Convert to fraction form
    9,809/21,255 = 21,255/x
  3. Step 3: Cross multiply
    9,809x = 21,255 × 21,255
  4. Step 4: Simplify right side
    9,809x = 451,775,025
  5. Step 5: Solve for x
    x = 451,775,025/9,809
  6. Step 6: Final answer
    x = 46,057.19

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.