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Finding the Third Proportional to 23,755 and 50,830

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Solution

The third proportional to 23,755 and 50,830 is: 108,764.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,755 : 50,830 = 50,830 : x
  2. Step 2: Convert to fraction form
    23,755/50,830 = 50,830/x
  3. Step 3: Cross multiply
    23,755x = 50,830 × 50,830
  4. Step 4: Simplify right side
    23,755x = 2,583,688,900
  5. Step 5: Solve for x
    x = 2,583,688,900/23,755
  6. Step 6: Final answer
    x = 108,764.00

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.