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Finding the Third Proportional to 23,150 and 50,482

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Solution

The third proportional to 23,150 and 50,482 is: 110,083.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,150 : 50,482 = 50,482 : x
  2. Step 2: Convert to fraction form
    23,150/50,482 = 50,482/x
  3. Step 3: Cross multiply
    23,150x = 50,482 × 50,482
  4. Step 4: Simplify right side
    23,150x = 2,548,432,324
  5. Step 5: Solve for x
    x = 2,548,432,324/23,150
  6. Step 6: Final answer
    x = 110,083.47

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.