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Finding the Third Proportional to 46,183.50 and 69,606

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Solution

The third proportional to 46,183.50 and 69,606 is: 104,907.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,183.50 : 69,606 = 69,606 : x
  2. Step 2: Convert to fraction form
    46,183.50/69,606 = 69,606/x
  3. Step 3: Cross multiply
    46,183.50x = 69,606 × 69,606
  4. Step 4: Simplify right side
    46,183.50x = 4,844,995,236
  5. Step 5: Solve for x
    x = 4,844,995,236/46,183.50
  6. Step 6: Final answer
    x = 104,907.49

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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.