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Finding the Third Proportional to 31,656.50 and 73,956.50

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Solution

The third proportional to 31,656.50 and 73,956.50 is: 172,778.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,656.50 : 73,956.50 = 73,956.50 : x
  2. Step 2: Convert to fraction form
    31,656.50/73,956.50 = 73,956.50/x
  3. Step 3: Cross multiply
    31,656.50x = 73,956.50 × 73,956.50
  4. Step 4: Simplify right side
    31,656.50x = 5,469,563,892.25
  5. Step 5: Solve for x
    x = 5,469,563,892.25/31,656.50
  6. Step 6: Final answer
    x = 172,778.54

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These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.