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Finding the Third Proportional to 10,380 and 21,245

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Solution

The third proportional to 10,380 and 21,245 is: 43,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,380 : 21,245 = 21,245 : x
  2. Step 2: Convert to fraction form
    10,380/21,245 = 21,245/x
  3. Step 3: Cross multiply
    10,380x = 21,245 × 21,245
  4. Step 4: Simplify right side
    10,380x = 451,350,025
  5. Step 5: Solve for x
    x = 451,350,025/10,380
  6. Step 6: Final answer
    x = 43,482.66

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.