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Finding the Third Proportional to 22,325 and 48,898

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Solution

The third proportional to 22,325 and 48,898 is: 107,100.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,325 : 48,898 = 48,898 : x
  2. Step 2: Convert to fraction form
    22,325/48,898 = 48,898/x
  3. Step 3: Cross multiply
    22,325x = 48,898 × 48,898
  4. Step 4: Simplify right side
    22,325x = 2,391,014,404
  5. Step 5: Solve for x
    x = 2,391,014,404/22,325
  6. Step 6: Final answer
    x = 107,100.31

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.