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Finding the Third Proportional to 11,793.09 and 25,811.16

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Solution

The third proportional to 11,793.09 and 25,811.16 is: 56,492.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,793.09 : 25,811.16 = 25,811.16 : x
  2. Step 2: Convert to fraction form
    11,793.09/25,811.16 = 25,811.16/x
  3. Step 3: Cross multiply
    11,793.09x = 25,811.16 × 25,811.16
  4. Step 4: Simplify right side
    11,793.09x = 666,215,786.96
  5. Step 5: Solve for x
    x = 666,215,786.96/11,793.09
  6. Step 6: Final answer
    x = 56,492.03

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.