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Finding the Third Proportional to 11,511.81 and 25,443.14

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Solution

The third proportional to 11,511.81 and 25,443.14 is: 56,233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,511.81 : 25,443.14 = 25,443.14 : x
  2. Step 2: Convert to fraction form
    11,511.81/25,443.14 = 25,443.14/x
  3. Step 3: Cross multiply
    11,511.81x = 25,443.14 × 25,443.14
  4. Step 4: Simplify right side
    11,511.81x = 647,353,404.86
  5. Step 5: Solve for x
    x = 647,353,404.86/11,511.81
  6. Step 6: Final answer
    x = 56,233.86

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.