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Finding the Third Proportional to 22,620 and 48,245

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Solution

The third proportional to 22,620 and 48,245 is: 102,899.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,620 : 48,245 = 48,245 : x
  2. Step 2: Convert to fraction form
    22,620/48,245 = 48,245/x
  3. Step 3: Cross multiply
    22,620x = 48,245 × 48,245
  4. Step 4: Simplify right side
    22,620x = 2,327,580,025
  5. Step 5: Solve for x
    x = 2,327,580,025/22,620
  6. Step 6: Final answer
    x = 102,899.21

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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.