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Finding the Third Proportional to 39,324.75 and 85,209.75

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Solution

The third proportional to 39,324.75 and 85,209.75 is: 184,634.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,324.75 : 85,209.75 = 85,209.75 : x
  2. Step 2: Convert to fraction form
    39,324.75/85,209.75 = 85,209.75/x
  3. Step 3: Cross multiply
    39,324.75x = 85,209.75 × 85,209.75
  4. Step 4: Simplify right side
    39,324.75x = 7,260,701,495.06
  5. Step 5: Solve for x
    x = 7,260,701,495.06/39,324.75
  6. Step 6: Final answer
    x = 184,634.40

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.