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Finding the Third Proportional to 31,606.88 and 71,982.69

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Solution

The third proportional to 31,606.88 and 71,982.69 is: 163,936.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,606.88 : 71,982.69 = 71,982.69 : x
  2. Step 2: Convert to fraction form
    31,606.88/71,982.69 = 71,982.69/x
  3. Step 3: Cross multiply
    31,606.88x = 71,982.69 × 71,982.69
  4. Step 4: Simplify right side
    31,606.88x = 5,181,507,299.72
  5. Step 5: Solve for x
    x = 5,181,507,299.72/31,606.88
  6. Step 6: Final answer
    x = 163,936.08

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These problems maintain the same ratio (2.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.