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Finding the Third Proportional to 46,011 and 69,249

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Solution

The third proportional to 46,011 and 69,249 is: 104,223.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,011 : 69,249 = 69,249 : x
  2. Step 2: Convert to fraction form
    46,011/69,249 = 69,249/x
  3. Step 3: Cross multiply
    46,011x = 69,249 × 69,249
  4. Step 4: Simplify right side
    46,011x = 4,795,424,001
  5. Step 5: Solve for x
    x = 4,795,424,001/46,011
  6. Step 6: Final answer
    x = 104,223.42

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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.