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Finding the Third Proportional to 33,382 and 46,954.50

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Solution

The third proportional to 33,382 and 46,954.50 is: 66,045.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,382 : 46,954.50 = 46,954.50 : x
  2. Step 2: Convert to fraction form
    33,382/46,954.50 = 46,954.50/x
  3. Step 3: Cross multiply
    33,382x = 46,954.50 × 46,954.50
  4. Step 4: Simplify right side
    33,382x = 2,204,725,070.25
  5. Step 5: Solve for x
    x = 2,204,725,070.25/33,382
  6. Step 6: Final answer
    x = 66,045.33

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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.