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Finding the Third Proportional to 11,542 and 24,620

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Solution

The third proportional to 11,542 and 24,620 is: 52,516.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542 : 24,620 = 24,620 : x
  2. Step 2: Convert to fraction form
    11,542/24,620 = 24,620/x
  3. Step 3: Cross multiply
    11,542x = 24,620 × 24,620
  4. Step 4: Simplify right side
    11,542x = 606,144,400
  5. Step 5: Solve for x
    x = 606,144,400/11,542
  6. Step 6: Final answer
    x = 52,516.41

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.