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Finding the Third Proportional to 33,954.19 and 49,627.69

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Solution

The third proportional to 33,954.19 and 49,627.69 is: 72,536.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,954.19 : 49,627.69 = 49,627.69 : x
  2. Step 2: Convert to fraction form
    33,954.19/49,627.69 = 49,627.69/x
  3. Step 3: Cross multiply
    33,954.19x = 49,627.69 × 49,627.69
  4. Step 4: Simplify right side
    33,954.19x = 2,462,907,366.60
  5. Step 5: Solve for x
    x = 2,462,907,366.60/33,954.19
  6. Step 6: Final answer
    x = 72,536.19

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.