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Finding the Third Proportional to 44,309.25 and 66,309.75

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Solution

The third proportional to 44,309.25 and 66,309.75 is: 99,233.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,309.25 : 66,309.75 = 66,309.75 : x
  2. Step 2: Convert to fraction form
    44,309.25/66,309.75 = 66,309.75/x
  3. Step 3: Cross multiply
    44,309.25x = 66,309.75 × 66,309.75
  4. Step 4: Simplify right side
    44,309.25x = 4,396,982,945.06
  5. Step 5: Solve for x
    x = 4,396,982,945.06/44,309.25
  6. Step 6: Final answer
    x = 99,233.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.