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Finding the Third Proportional to 46,647 and 69,900.75

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Solution

The third proportional to 46,647 and 69,900.75 is: 104,746.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,647 : 69,900.75 = 69,900.75 : x
  2. Step 2: Convert to fraction form
    46,647/69,900.75 = 69,900.75/x
  3. Step 3: Cross multiply
    46,647x = 69,900.75 × 69,900.75
  4. Step 4: Simplify right side
    46,647x = 4,886,114,850.56
  5. Step 5: Solve for x
    x = 4,886,114,850.56/46,647
  6. Step 6: Final answer
    x = 104,746.60

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.