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Finding the Third Proportional to 11,777.52 and 25,630.80

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Solution

The third proportional to 11,777.52 and 25,630.80 is: 55,778.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.52 : 25,630.80 = 25,630.80 : x
  2. Step 2: Convert to fraction form
    11,777.52/25,630.80 = 25,630.80/x
  3. Step 3: Cross multiply
    11,777.52x = 25,630.80 × 25,630.80
  4. Step 4: Simplify right side
    11,777.52x = 656,938,148.93
  5. Step 5: Solve for x
    x = 656,938,148.93/11,777.52
  6. Step 6: Final answer
    x = 55,778.99

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.