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Finding the Third Proportional to 21,471 and 44,589

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Solution

The third proportional to 21,471 and 44,589 is: 92,598.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,471 : 44,589 = 44,589 : x
  2. Step 2: Convert to fraction form
    21,471/44,589 = 44,589/x
  3. Step 3: Cross multiply
    21,471x = 44,589 × 44,589
  4. Step 4: Simplify right side
    21,471x = 1,988,178,921
  5. Step 5: Solve for x
    x = 1,988,178,921/21,471
  6. Step 6: Final answer
    x = 92,598.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.