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Finding the Third Proportional to 33,048.63 and 49,646.67

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Solution

The third proportional to 33,048.63 and 49,646.67 is: 74,580.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,048.63 : 49,646.67 = 49,646.67 : x
  2. Step 2: Convert to fraction form
    33,048.63/49,646.67 = 49,646.67/x
  3. Step 3: Cross multiply
    33,048.63x = 49,646.67 × 49,646.67
  4. Step 4: Simplify right side
    33,048.63x = 2,464,792,028.26
  5. Step 5: Solve for x
    x = 2,464,792,028.26/33,048.63
  6. Step 6: Final answer
    x = 74,580.76

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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.