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Finding the Third Proportional to 23,613 and 50,734

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Solution

The third proportional to 23,613 and 50,734 is: 109,005.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,613 : 50,734 = 50,734 : x
  2. Step 2: Convert to fraction form
    23,613/50,734 = 50,734/x
  3. Step 3: Cross multiply
    23,613x = 50,734 × 50,734
  4. Step 4: Simplify right side
    23,613x = 2,573,938,756
  5. Step 5: Solve for x
    x = 2,573,938,756/23,613
  6. Step 6: Final answer
    x = 109,005.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.