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Finding the Third Proportional to 46,041 and 69,232

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Solution

The third proportional to 46,041 and 69,232 is: 104,104.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,041 : 69,232 = 69,232 : x
  2. Step 2: Convert to fraction form
    46,041/69,232 = 69,232/x
  3. Step 3: Cross multiply
    46,041x = 69,232 × 69,232
  4. Step 4: Simplify right side
    46,041x = 4,793,069,824
  5. Step 5: Solve for x
    x = 4,793,069,824/46,041
  6. Step 6: Final answer
    x = 104,104.38

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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.