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Finding the Third Proportional to 11,255 and 23,230

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Solution

The third proportional to 11,255 and 23,230 is: 47,946.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,255 : 23,230 = 23,230 : x
  2. Step 2: Convert to fraction form
    11,255/23,230 = 23,230/x
  3. Step 3: Cross multiply
    11,255x = 23,230 × 23,230
  4. Step 4: Simplify right side
    11,255x = 539,632,900
  5. Step 5: Solve for x
    x = 539,632,900/11,255
  6. Step 6: Final answer
    x = 47,946.06

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.