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Finding the Third Proportional to 22,945 and 30,961

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Solution

The third proportional to 22,945 and 30,961 is: 41,777.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,945 : 30,961 = 30,961 : x
  2. Step 2: Convert to fraction form
    22,945/30,961 = 30,961/x
  3. Step 3: Cross multiply
    22,945x = 30,961 × 30,961
  4. Step 4: Simplify right side
    22,945x = 958,583,521
  5. Step 5: Solve for x
    x = 958,583,521/22,945
  6. Step 6: Final answer
    x = 41,777.45

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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.