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Finding the Third Proportional to 22,939 and 48,635

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Solution

The third proportional to 22,939 and 48,635 is: 103,115.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,939 : 48,635 = 48,635 : x
  2. Step 2: Convert to fraction form
    22,939/48,635 = 48,635/x
  3. Step 3: Cross multiply
    22,939x = 48,635 × 48,635
  4. Step 4: Simplify right side
    22,939x = 2,365,363,225
  5. Step 5: Solve for x
    x = 2,365,363,225/22,939
  6. Step 6: Final answer
    x = 103,115.36

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.