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Finding the Third Proportional to 21,954 and 47,634

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Solution

The third proportional to 21,954 and 47,634 is: 103,352.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,954 : 47,634 = 47,634 : x
  2. Step 2: Convert to fraction form
    21,954/47,634 = 47,634/x
  3. Step 3: Cross multiply
    21,954x = 47,634 × 47,634
  4. Step 4: Simplify right side
    21,954x = 2,268,997,956
  5. Step 5: Solve for x
    x = 2,268,997,956/21,954
  6. Step 6: Final answer
    x = 103,352.37

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.