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Finding the Third Proportional to 23,698 and 50,913

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Solution

The third proportional to 23,698 and 50,913 is: 109,381.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    23,698 : 50,913 = 50,913 : x
  2. Step 2: Convert to fraction form
    23,698/50,913 = 50,913/x
  3. Step 3: Cross multiply
    23,698x = 50,913 × 50,913
  4. Step 4: Simplify right side
    23,698x = 2,592,133,569
  5. Step 5: Solve for x
    x = 2,592,133,569/23,698
  6. Step 6: Final answer
    x = 109,381.95

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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.