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Finding the Third Proportional to 22,448 and 48,775

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Solution

The third proportional to 22,448 and 48,775 is: 105,978.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,448 : 48,775 = 48,775 : x
  2. Step 2: Convert to fraction form
    22,448/48,775 = 48,775/x
  3. Step 3: Cross multiply
    22,448x = 48,775 × 48,775
  4. Step 4: Simplify right side
    22,448x = 2,379,000,625
  5. Step 5: Solve for x
    x = 2,379,000,625/22,448
  6. Step 6: Final answer
    x = 105,978.29

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.