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Finding the Third Proportional to 15,674 and 21,493

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Solution

The third proportional to 15,674 and 21,493 is: 29,472.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,674 : 21,493 = 21,493 : x
  2. Step 2: Convert to fraction form
    15,674/21,493 = 21,493/x
  3. Step 3: Cross multiply
    15,674x = 21,493 × 21,493
  4. Step 4: Simplify right side
    15,674x = 461,949,049
  5. Step 5: Solve for x
    x = 461,949,049/15,674
  6. Step 6: Final answer
    x = 29,472.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.