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Finding the Third Proportional to 23,172 and 50,593

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Solution

The third proportional to 23,172 and 50,593 is: 110,463.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,172 : 50,593 = 50,593 : x
  2. Step 2: Convert to fraction form
    23,172/50,593 = 50,593/x
  3. Step 3: Cross multiply
    23,172x = 50,593 × 50,593
  4. Step 4: Simplify right side
    23,172x = 2,559,651,649
  5. Step 5: Solve for x
    x = 2,559,651,649/23,172
  6. Step 6: Final answer
    x = 110,463.13

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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.