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Finding the Third Proportional to 33,971.25 and 49,958.25

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Solution

The third proportional to 33,971.25 and 49,958.25 is: 73,468.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,971.25 : 49,958.25 = 49,958.25 : x
  2. Step 2: Convert to fraction form
    33,971.25/49,958.25 = 49,958.25/x
  3. Step 3: Cross multiply
    33,971.25x = 49,958.25 × 49,958.25
  4. Step 4: Simplify right side
    33,971.25x = 2,495,826,743.06
  5. Step 5: Solve for x
    x = 2,495,826,743.06/33,971.25
  6. Step 6: Final answer
    x = 73,468.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.