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Finding the Third Proportional to 22,277 and 48,035

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Solution

The third proportional to 22,277 and 48,035 is: 103,575.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,277 : 48,035 = 48,035 : x
  2. Step 2: Convert to fraction form
    22,277/48,035 = 48,035/x
  3. Step 3: Cross multiply
    22,277x = 48,035 × 48,035
  4. Step 4: Simplify right side
    22,277x = 2,307,361,225
  5. Step 5: Solve for x
    x = 2,307,361,225/22,277
  6. Step 6: Final answer
    x = 103,575.94

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.