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Finding the Third Proportional to 11,542 and 25,220

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Solution

The third proportional to 11,542 and 25,220 is: 55,107.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,542 : 25,220 = 25,220 : x
  2. Step 2: Convert to fraction form
    11,542/25,220 = 25,220/x
  3. Step 3: Cross multiply
    11,542x = 25,220 × 25,220
  4. Step 4: Simplify right side
    11,542x = 636,048,400
  5. Step 5: Solve for x
    x = 636,048,400/11,542
  6. Step 6: Final answer
    x = 55,107.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.