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Finding the Third Proportional to 50,388 and 73,794

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Solution

The third proportional to 50,388 and 73,794 is: 108,072.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,388 : 73,794 = 73,794 : x
  2. Step 2: Convert to fraction form
    50,388/73,794 = 73,794/x
  3. Step 3: Cross multiply
    50,388x = 73,794 × 73,794
  4. Step 4: Simplify right side
    50,388x = 5,445,554,436
  5. Step 5: Solve for x
    x = 5,445,554,436/50,388
  6. Step 6: Final answer
    x = 108,072.45

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.