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Finding the Third Proportional to 21,497 and 45,406

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Solution

The third proportional to 21,497 and 45,406 is: 95,906.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,497 : 45,406 = 45,406 : x
  2. Step 2: Convert to fraction form
    21,497/45,406 = 45,406/x
  3. Step 3: Cross multiply
    21,497x = 45,406 × 45,406
  4. Step 4: Simplify right side
    21,497x = 2,061,704,836
  5. Step 5: Solve for x
    x = 2,061,704,836/21,497
  6. Step 6: Final answer
    x = 95,906.63

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.