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Finding the Third Proportional to 33,103.69 and 42,503.91

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Solution

The third proportional to 33,103.69 and 42,503.91 is: 54,573.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,103.69 : 42,503.91 = 42,503.91 : x
  2. Step 2: Convert to fraction form
    33,103.69/42,503.91 = 42,503.91/x
  3. Step 3: Cross multiply
    33,103.69x = 42,503.91 × 42,503.91
  4. Step 4: Simplify right side
    33,103.69x = 1,806,582,046.51
  5. Step 5: Solve for x
    x = 1,806,582,046.51/33,103.69
  6. Step 6: Final answer
    x = 54,573.44

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These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.