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Finding the Third Proportional to 10,038 and 21,954

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Solution

The third proportional to 10,038 and 21,954 is: 48,015.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,038 : 21,954 = 21,954 : x
  2. Step 2: Convert to fraction form
    10,038/21,954 = 21,954/x
  3. Step 3: Cross multiply
    10,038x = 21,954 × 21,954
  4. Step 4: Simplify right side
    10,038x = 481,978,116
  5. Step 5: Solve for x
    x = 481,978,116/10,038
  6. Step 6: Final answer
    x = 48,015.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.