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Finding the Third Proportional to 22,880 and 50,176

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Solution

The third proportional to 22,880 and 50,176 is: 110,036.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,880 : 50,176 = 50,176 : x
  2. Step 2: Convert to fraction form
    22,880/50,176 = 50,176/x
  3. Step 3: Cross multiply
    22,880x = 50,176 × 50,176
  4. Step 4: Simplify right side
    22,880x = 2,517,630,976
  5. Step 5: Solve for x
    x = 2,517,630,976/22,880
  6. Step 6: Final answer
    x = 110,036.32

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.