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Finding the Third Proportional to 39,739.50 and 84,885.75

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Solution

The third proportional to 39,739.50 and 84,885.75 is: 181,320.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,739.50 : 84,885.75 = 84,885.75 : x
  2. Step 2: Convert to fraction form
    39,739.50/84,885.75 = 84,885.75/x
  3. Step 3: Cross multiply
    39,739.50x = 84,885.75 × 84,885.75
  4. Step 4: Simplify right side
    39,739.50x = 7,205,590,553.06
  5. Step 5: Solve for x
    x = 7,205,590,553.06/39,739.50
  6. Step 6: Final answer
    x = 181,320.61

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.