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Finding the Third Proportional to 33,402 and 49,999

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Solution

The third proportional to 33,402 and 49,999 is: 74,842.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,402 : 49,999 = 49,999 : x
  2. Step 2: Convert to fraction form
    33,402/49,999 = 49,999/x
  3. Step 3: Cross multiply
    33,402x = 49,999 × 49,999
  4. Step 4: Simplify right side
    33,402x = 2,499,900,001
  5. Step 5: Solve for x
    x = 2,499,900,001/33,402
  6. Step 6: Final answer
    x = 74,842.82

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.