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Finding the Third Proportional to 33,537.38 and 74,455.88

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Solution

The third proportional to 33,537.38 and 74,455.88 is: 165,298.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,537.38 : 74,455.88 = 74,455.88 : x
  2. Step 2: Convert to fraction form
    33,537.38/74,455.88 = 74,455.88/x
  3. Step 3: Cross multiply
    33,537.38x = 74,455.88 × 74,455.88
  4. Step 4: Simplify right side
    33,537.38x = 5,543,677,322.02
  5. Step 5: Solve for x
    x = 5,543,677,322.02/33,537.38
  6. Step 6: Final answer
    x = 165,298.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.