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Finding the Third Proportional to 33,155.26 and 46,866.73

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Solution

The third proportional to 33,155.26 and 46,866.73 is: 66,248.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,155.26 : 46,866.73 = 46,866.73 : x
  2. Step 2: Convert to fraction form
    33,155.26/46,866.73 = 46,866.73/x
  3. Step 3: Cross multiply
    33,155.26x = 46,866.73 × 46,866.73
  4. Step 4: Simplify right side
    33,155.26x = 2,196,490,058.68
  5. Step 5: Solve for x
    x = 2,196,490,058.68/33,155.26
  6. Step 6: Final answer
    x = 66,248.61

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.