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Finding the Third Proportional to 33,273.49 and 72,999.14

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Solution

The third proportional to 33,273.49 and 72,999.14 is: 160,153.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,273.49 : 72,999.14 = 72,999.14 : x
  2. Step 2: Convert to fraction form
    33,273.49/72,999.14 = 72,999.14/x
  3. Step 3: Cross multiply
    33,273.49x = 72,999.14 × 72,999.14
  4. Step 4: Simplify right side
    33,273.49x = 5,328,874,531.99
  5. Step 5: Solve for x
    x = 5,328,874,531.99/33,273.49
  6. Step 6: Final answer
    x = 160,153.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.