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Finding the Third Proportional to 22,519 and 47,954

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Solution

The third proportional to 22,519 and 47,954 is: 102,117.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,519 : 47,954 = 47,954 : x
  2. Step 2: Convert to fraction form
    22,519/47,954 = 47,954/x
  3. Step 3: Cross multiply
    22,519x = 47,954 × 47,954
  4. Step 4: Simplify right side
    22,519x = 2,299,586,116
  5. Step 5: Solve for x
    x = 2,299,586,116/22,519
  6. Step 6: Final answer
    x = 102,117.59

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.