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Finding the Third Proportional to 23,599 and 50,695

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Solution

The third proportional to 23,599 and 50,695 is: 108,902.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,599 : 50,695 = 50,695 : x
  2. Step 2: Convert to fraction form
    23,599/50,695 = 50,695/x
  3. Step 3: Cross multiply
    23,599x = 50,695 × 50,695
  4. Step 4: Simplify right side
    23,599x = 2,569,983,025
  5. Step 5: Solve for x
    x = 2,569,983,025/23,599
  6. Step 6: Final answer
    x = 108,902.20

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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.