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Finding the Third Proportional to 33,573.38 and 45,435.38

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Solution

The third proportional to 33,573.38 and 45,435.38 is: 61,488.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,573.38 : 45,435.38 = 45,435.38 : x
  2. Step 2: Convert to fraction form
    33,573.38/45,435.38 = 45,435.38/x
  3. Step 3: Cross multiply
    33,573.38x = 45,435.38 × 45,435.38
  4. Step 4: Simplify right side
    33,573.38x = 2,064,373,301.39
  5. Step 5: Solve for x
    x = 2,064,373,301.39/33,573.38
  6. Step 6: Final answer
    x = 61,488.41

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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.