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Finding the Third Proportional to 50,616 and 76,620

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Solution

The third proportional to 50,616 and 76,620 is: 115,983.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,616 : 76,620 = 76,620 : x
  2. Step 2: Convert to fraction form
    50,616/76,620 = 76,620/x
  3. Step 3: Cross multiply
    50,616x = 76,620 × 76,620
  4. Step 4: Simplify right side
    50,616x = 5,870,624,400
  5. Step 5: Solve for x
    x = 5,870,624,400/50,616
  6. Step 6: Final answer
    x = 115,983.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.