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Finding the Third Proportional to 23,653 and 50,190

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Solution

The third proportional to 23,653 and 50,190 is: 106,499.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,653 : 50,190 = 50,190 : x
  2. Step 2: Convert to fraction form
    23,653/50,190 = 50,190/x
  3. Step 3: Cross multiply
    23,653x = 50,190 × 50,190
  4. Step 4: Simplify right side
    23,653x = 2,519,036,100
  5. Step 5: Solve for x
    x = 2,519,036,100/23,653
  6. Step 6: Final answer
    x = 106,499.64

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.