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Finding the Third Proportional to 39,006.56 and 73,016.44

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Solution

The third proportional to 39,006.56 and 73,016.44 is: 136,679.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,006.56 : 73,016.44 = 73,016.44 : x
  2. Step 2: Convert to fraction form
    39,006.56/73,016.44 = 73,016.44/x
  3. Step 3: Cross multiply
    39,006.56x = 73,016.44 × 73,016.44
  4. Step 4: Simplify right side
    39,006.56x = 5,331,400,145.19
  5. Step 5: Solve for x
    x = 5,331,400,145.19/39,006.56
  6. Step 6: Final answer
    x = 136,679.57

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Why These Related Problems?

These problems maintain the same ratio (1.87) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.