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Finding the Third Proportional to 39,538.69 and 85,305.56

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Solution

The third proportional to 39,538.69 and 85,305.56 is: 184,048.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,538.69 : 85,305.56 = 85,305.56 : x
  2. Step 2: Convert to fraction form
    39,538.69/85,305.56 = 85,305.56/x
  3. Step 3: Cross multiply
    39,538.69x = 85,305.56 × 85,305.56
  4. Step 4: Simplify right side
    39,538.69x = 7,277,038,993.44
  5. Step 5: Solve for x
    x = 7,277,038,993.44/39,538.69
  6. Step 6: Final answer
    x = 184,048.57

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.