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Finding the Third Proportional to 21,938 and 48,268

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Solution

The third proportional to 21,938 and 48,268 is: 106,199.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,938 : 48,268 = 48,268 : x
  2. Step 2: Convert to fraction form
    21,938/48,268 = 48,268/x
  3. Step 3: Cross multiply
    21,938x = 48,268 × 48,268
  4. Step 4: Simplify right side
    21,938x = 2,329,799,824
  5. Step 5: Solve for x
    x = 2,329,799,824/21,938
  6. Step 6: Final answer
    x = 106,199.28

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.