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Finding the Third Proportional to 11,614.50 and 25,573.50

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Solution

The third proportional to 11,614.50 and 25,573.50 is: 56,309.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,614.50 : 25,573.50 = 25,573.50 : x
  2. Step 2: Convert to fraction form
    11,614.50/25,573.50 = 25,573.50/x
  3. Step 3: Cross multiply
    11,614.50x = 25,573.50 × 25,573.50
  4. Step 4: Simplify right side
    11,614.50x = 654,003,902.25
  5. Step 5: Solve for x
    x = 654,003,902.25/11,614.50
  6. Step 6: Final answer
    x = 56,309.26

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.