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Finding the Third Proportional to 22,948 and 30,965

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Solution

The third proportional to 22,948 and 30,965 is: 41,782.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,948 : 30,965 = 30,965 : x
  2. Step 2: Convert to fraction form
    22,948/30,965 = 30,965/x
  3. Step 3: Cross multiply
    22,948x = 30,965 × 30,965
  4. Step 4: Simplify right side
    22,948x = 958,831,225
  5. Step 5: Solve for x
    x = 958,831,225/22,948
  6. Step 6: Final answer
    x = 41,782.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.