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Finding the Third Proportional to 11,674 and 25,614.50

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Solution

The third proportional to 11,674 and 25,614.50 is: 56,202.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,674 : 25,614.50 = 25,614.50 : x
  2. Step 2: Convert to fraction form
    11,674/25,614.50 = 25,614.50/x
  3. Step 3: Cross multiply
    11,674x = 25,614.50 × 25,614.50
  4. Step 4: Simplify right side
    11,674x = 656,102,610.25
  5. Step 5: Solve for x
    x = 656,102,610.25/11,674
  6. Step 6: Final answer
    x = 56,202.04

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.