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Finding the Third Proportional to 11,456 and 22,480

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Solution

The third proportional to 11,456 and 22,480 is: 44,112.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,456 : 22,480 = 22,480 : x
  2. Step 2: Convert to fraction form
    11,456/22,480 = 22,480/x
  3. Step 3: Cross multiply
    11,456x = 22,480 × 22,480
  4. Step 4: Simplify right side
    11,456x = 505,350,400
  5. Step 5: Solve for x
    x = 505,350,400/11,456
  6. Step 6: Final answer
    x = 44,112.29

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Why These Related Problems?

These problems maintain the same ratio (1.96) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.