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Finding the Third Proportional to 33,051.38 and 49,649.63

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Solution

The third proportional to 33,051.38 and 49,649.63 is: 74,583.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,051.38 : 49,649.63 = 49,649.63 : x
  2. Step 2: Convert to fraction form
    33,051.38/49,649.63 = 49,649.63/x
  3. Step 3: Cross multiply
    33,051.38x = 49,649.63 × 49,649.63
  4. Step 4: Simplify right side
    33,051.38x = 2,465,085,262.64
  5. Step 5: Solve for x
    x = 2,465,085,262.64/33,051.38
  6. Step 6: Final answer
    x = 74,583.44

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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.