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Finding the Third Proportional to 33,419.63 and 45,399.19

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Solution

The third proportional to 33,419.63 and 45,399.19 is: 61,672.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,419.63 : 45,399.19 = 45,399.19 : x
  2. Step 2: Convert to fraction form
    33,419.63/45,399.19 = 45,399.19/x
  3. Step 3: Cross multiply
    33,419.63x = 45,399.19 × 45,399.19
  4. Step 4: Simplify right side
    33,419.63x = 2,061,086,225.66
  5. Step 5: Solve for x
    x = 2,061,086,225.66/33,419.63
  6. Step 6: Final answer
    x = 61,672.93

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.