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Finding the Third Proportional to 39,451.50 and 84,917.25

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Solution

The third proportional to 39,451.50 and 84,917.25 is: 182,779.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,451.50 : 84,917.25 = 84,917.25 : x
  2. Step 2: Convert to fraction form
    39,451.50/84,917.25 = 84,917.25/x
  3. Step 3: Cross multiply
    39,451.50x = 84,917.25 × 84,917.25
  4. Step 4: Simplify right side
    39,451.50x = 7,210,939,347.56
  5. Step 5: Solve for x
    x = 7,210,939,347.56/39,451.50
  6. Step 6: Final answer
    x = 182,779.85

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.