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Finding the Third Proportional to 22,144 and 47,824

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Solution

The third proportional to 22,144 and 47,824 is: 103,284.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,144 : 47,824 = 47,824 : x
  2. Step 2: Convert to fraction form
    22,144/47,824 = 47,824/x
  3. Step 3: Cross multiply
    22,144x = 47,824 × 47,824
  4. Step 4: Simplify right side
    22,144x = 2,287,134,976
  5. Step 5: Solve for x
    x = 2,287,134,976/22,144
  6. Step 6: Final answer
    x = 103,284.64

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.