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Finding the Third Proportional to 11,975.81 and 25,191.84

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Solution

The third proportional to 11,975.81 and 25,191.84 is: 52,992.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,975.81 : 25,191.84 = 25,191.84 : x
  2. Step 2: Convert to fraction form
    11,975.81/25,191.84 = 25,191.84/x
  3. Step 3: Cross multiply
    11,975.81x = 25,191.84 × 25,191.84
  4. Step 4: Simplify right side
    11,975.81x = 634,628,991.52
  5. Step 5: Solve for x
    x = 634,628,991.52/11,975.81
  6. Step 6: Final answer
    x = 52,992.56

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Why These Related Problems?

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