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Finding the Third Proportional to 13,800 and 25,552

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Solution

The third proportional to 13,800 and 25,552 is: 47,311.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,800 : 25,552 = 25,552 : x
  2. Step 2: Convert to fraction form
    13,800/25,552 = 25,552/x
  3. Step 3: Cross multiply
    13,800x = 25,552 × 25,552
  4. Step 4: Simplify right side
    13,800x = 652,904,704
  5. Step 5: Solve for x
    x = 652,904,704/13,800
  6. Step 6: Final answer
    x = 47,311.94

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Why These Related Problems?

These problems maintain the same ratio (1.85) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.