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Finding the Third Proportional to 11,943.07 and 25,201.76

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Solution

The third proportional to 11,943.07 and 25,201.76 is: 53,179.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,943.07 : 25,201.76 = 25,201.76 : x
  2. Step 2: Convert to fraction form
    11,943.07/25,201.76 = 25,201.76/x
  3. Step 3: Cross multiply
    11,943.07x = 25,201.76 × 25,201.76
  4. Step 4: Simplify right side
    11,943.07x = 635,128,596.84
  5. Step 5: Solve for x
    x = 635,128,596.84/11,943.07
  6. Step 6: Final answer
    x = 53,179.67

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.