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Finding the Third Proportional to 33,258.94 and 39,409.88

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Solution

The third proportional to 33,258.94 and 39,409.88 is: 46,698.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,258.94 : 39,409.88 = 39,409.88 : x
  2. Step 2: Convert to fraction form
    33,258.94/39,409.88 = 39,409.88/x
  3. Step 3: Cross multiply
    33,258.94x = 39,409.88 × 39,409.88
  4. Step 4: Simplify right side
    33,258.94x = 1,553,138,247.52
  5. Step 5: Solve for x
    x = 1,553,138,247.52/33,258.94
  6. Step 6: Final answer
    x = 46,698.37

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These problems maintain the same ratio (1.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.