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Finding the Third Proportional to 39,571.03 and 85,429.69

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Solution

The third proportional to 39,571.03 and 85,429.69 is: 184,433.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,571.03 : 85,429.69 = 85,429.69 : x
  2. Step 2: Convert to fraction form
    39,571.03/85,429.69 = 85,429.69/x
  3. Step 3: Cross multiply
    39,571.03x = 85,429.69 × 85,429.69
  4. Step 4: Simplify right side
    39,571.03x = 7,298,231,506.35
  5. Step 5: Solve for x
    x = 7,298,231,506.35/39,571.03
  6. Step 6: Final answer
    x = 184,433.69

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