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Finding the Third Proportional to 11,975.58 and 25,191.42

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Solution

The third proportional to 11,975.58 and 25,191.42 is: 52,991.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.58 : 25,191.42 = 25,191.42 : x
  2. Step 2: Convert to fraction form
    11,975.58/25,191.42 = 25,191.42/x
  3. Step 3: Cross multiply
    11,975.58x = 25,191.42 × 25,191.42
  4. Step 4: Simplify right side
    11,975.58x = 634,607,736.08
  5. Step 5: Solve for x
    x = 634,607,736.08/11,975.58
  6. Step 6: Final answer
    x = 52,991.82

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.