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Finding the Third Proportional to 25,586.06 and 55,542.75

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Solution

The third proportional to 25,586.06 and 55,542.75 is: 120,573.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,586.06 : 55,542.75 = 55,542.75 : x
  2. Step 2: Convert to fraction form
    25,586.06/55,542.75 = 55,542.75/x
  3. Step 3: Cross multiply
    25,586.06x = 55,542.75 × 55,542.75
  4. Step 4: Simplify right side
    25,586.06x = 3,084,997,077.56
  5. Step 5: Solve for x
    x = 3,084,997,077.56/25,586.06
  6. Step 6: Final answer
    x = 120,573.34

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.