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Finding the Third Proportional to 23,048 and 50,560

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Solution

The third proportional to 23,048 and 50,560 is: 110,912.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,048 : 50,560 = 50,560 : x
  2. Step 2: Convert to fraction form
    23,048/50,560 = 50,560/x
  3. Step 3: Cross multiply
    23,048x = 50,560 × 50,560
  4. Step 4: Simplify right side
    23,048x = 2,556,313,600
  5. Step 5: Solve for x
    x = 2,556,313,600/23,048
  6. Step 6: Final answer
    x = 110,912.60

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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.