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Finding the Third Proportional to 46,696 and 69,878

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Solution

The third proportional to 46,696 and 69,878 is: 104,568.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,696 : 69,878 = 69,878 : x
  2. Step 2: Convert to fraction form
    46,696/69,878 = 69,878/x
  3. Step 3: Cross multiply
    46,696x = 69,878 × 69,878
  4. Step 4: Simplify right side
    46,696x = 4,882,934,884
  5. Step 5: Solve for x
    x = 4,882,934,884/46,696
  6. Step 6: Final answer
    x = 104,568.59

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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.