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Finding the Third Proportional to 17,449 and 24,923

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Solution

The third proportional to 17,449 and 24,923 is: 35,598.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,449 : 24,923 = 24,923 : x
  2. Step 2: Convert to fraction form
    17,449/24,923 = 24,923/x
  3. Step 3: Cross multiply
    17,449x = 24,923 × 24,923
  4. Step 4: Simplify right side
    17,449x = 621,155,929
  5. Step 5: Solve for x
    x = 621,155,929/17,449
  6. Step 6: Final answer
    x = 35,598.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.