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Finding the Third Proportional to 10,493 and 21,472

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Solution

The third proportional to 10,493 and 21,472 is: 43,938.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,493 : 21,472 = 21,472 : x
  2. Step 2: Convert to fraction form
    10,493/21,472 = 21,472/x
  3. Step 3: Cross multiply
    10,493x = 21,472 × 21,472
  4. Step 4: Simplify right side
    10,493x = 461,046,784
  5. Step 5: Solve for x
    x = 461,046,784/10,493
  6. Step 6: Final answer
    x = 43,938.51

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.