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Finding the Third Proportional to 46,674 and 69,993

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Solution

The third proportional to 46,674 and 69,993 is: 104,962.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,674 : 69,993 = 69,993 : x
  2. Step 2: Convert to fraction form
    46,674/69,993 = 69,993/x
  3. Step 3: Cross multiply
    46,674x = 69,993 × 69,993
  4. Step 4: Simplify right side
    46,674x = 4,899,020,049
  5. Step 5: Solve for x
    x = 4,899,020,049/46,674
  6. Step 6: Final answer
    x = 104,962.51

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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.