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Finding the Third Proportional to 35,933.25 and 74,171.25

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Solution

The third proportional to 35,933.25 and 74,171.25 is: 153,099.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    35,933.25 : 74,171.25 = 74,171.25 : x
  2. Step 2: Convert to fraction form
    35,933.25/74,171.25 = 74,171.25/x
  3. Step 3: Cross multiply
    35,933.25x = 74,171.25 × 74,171.25
  4. Step 4: Simplify right side
    35,933.25x = 5,501,374,326.56
  5. Step 5: Solve for x
    x = 5,501,374,326.56/35,933.25
  6. Step 6: Final answer
    x = 153,099.83

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.