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Finding the Third Proportional to 11,274 and 24,854

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Solution

The third proportional to 11,274 and 24,854 is: 54,791.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,274 : 24,854 = 24,854 : x
  2. Step 2: Convert to fraction form
    11,274/24,854 = 24,854/x
  3. Step 3: Cross multiply
    11,274x = 24,854 × 24,854
  4. Step 4: Simplify right side
    11,274x = 617,721,316
  5. Step 5: Solve for x
    x = 617,721,316/11,274
  6. Step 6: Final answer
    x = 54,791.67

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.