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Finding the Third Proportional to 17,149 and 24,023

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Solution

The third proportional to 17,149 and 24,023 is: 33,652.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,149 : 24,023 = 24,023 : x
  2. Step 2: Convert to fraction form
    17,149/24,023 = 24,023/x
  3. Step 3: Cross multiply
    17,149x = 24,023 × 24,023
  4. Step 4: Simplify right side
    17,149x = 577,104,529
  5. Step 5: Solve for x
    x = 577,104,529/17,149
  6. Step 6: Final answer
    x = 33,652.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.