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Finding the Third Proportional to 23,260 and 50,420

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Solution

The third proportional to 23,260 and 50,420 is: 109,293.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,260 : 50,420 = 50,420 : x
  2. Step 2: Convert to fraction form
    23,260/50,420 = 50,420/x
  3. Step 3: Cross multiply
    23,260x = 50,420 × 50,420
  4. Step 4: Simplify right side
    23,260x = 2,542,176,400
  5. Step 5: Solve for x
    x = 2,542,176,400/23,260
  6. Step 6: Final answer
    x = 109,293.91

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.