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Finding the Third Proportional to 11,523.09 and 25,131.94

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Solution

The third proportional to 11,523.09 and 25,131.94 is: 54,812.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,523.09 : 25,131.94 = 25,131.94 : x
  2. Step 2: Convert to fraction form
    11,523.09/25,131.94 = 25,131.94/x
  3. Step 3: Cross multiply
    11,523.09x = 25,131.94 × 25,131.94
  4. Step 4: Simplify right side
    11,523.09x = 631,614,282.50
  5. Step 5: Solve for x
    x = 631,614,282.50/11,523.09
  6. Step 6: Final answer
    x = 54,812.91

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Why These Related Problems?

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