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Finding the Third Proportional to 33,555.94 and 45,409.78

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Solution

The third proportional to 33,555.94 and 45,409.78 is: 61,451.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,555.94 : 45,409.78 = 45,409.78 : x
  2. Step 2: Convert to fraction form
    33,555.94/45,409.78 = 45,409.78/x
  3. Step 3: Cross multiply
    33,555.94x = 45,409.78 × 45,409.78
  4. Step 4: Simplify right side
    33,555.94x = 2,062,048,233.17
  5. Step 5: Solve for x
    x = 2,062,048,233.17/33,555.94
  6. Step 6: Final answer
    x = 61,451.07

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These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.