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Finding the Third Proportional to 10,542 and 22,245

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Solution

The third proportional to 10,542 and 22,245 is: 46,939.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,542 : 22,245 = 22,245 : x
  2. Step 2: Convert to fraction form
    10,542/22,245 = 22,245/x
  3. Step 3: Cross multiply
    10,542x = 22,245 × 22,245
  4. Step 4: Simplify right side
    10,542x = 494,840,025
  5. Step 5: Solve for x
    x = 494,840,025/10,542
  6. Step 6: Final answer
    x = 46,939.86

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.