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Finding the Third Proportional to 39,117.94 and 84,472.03

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Solution

The third proportional to 39,117.94 and 84,472.03 is: 182,410.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,117.94 : 84,472.03 = 84,472.03 : x
  2. Step 2: Convert to fraction form
    39,117.94/84,472.03 = 84,472.03/x
  3. Step 3: Cross multiply
    39,117.94x = 84,472.03 × 84,472.03
  4. Step 4: Simplify right side
    39,117.94x = 7,135,524,063.50
  5. Step 5: Solve for x
    x = 7,135,524,063.50/39,117.94
  6. Step 6: Final answer
    x = 182,410.54

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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.