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Finding the Third Proportional to 39,539.06 and 85,305.75

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Solution

The third proportional to 39,539.06 and 85,305.75 is: 184,047.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,539.06 : 85,305.75 = 85,305.75 : x
  2. Step 2: Convert to fraction form
    39,539.06/85,305.75 = 85,305.75/x
  3. Step 3: Cross multiply
    39,539.06x = 85,305.75 × 85,305.75
  4. Step 4: Simplify right side
    39,539.06x = 7,277,070,983.06
  5. Step 5: Solve for x
    x = 7,277,070,983.06/39,539.06
  6. Step 6: Final answer
    x = 184,047.64

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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.