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Finding the Third Proportional to 17,233 and 24,846

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Solution

The third proportional to 17,233 and 24,846 is: 35,822.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,233 : 24,846 = 24,846 : x
  2. Step 2: Convert to fraction form
    17,233/24,846 = 24,846/x
  3. Step 3: Cross multiply
    17,233x = 24,846 × 24,846
  4. Step 4: Simplify right side
    17,233x = 617,323,716
  5. Step 5: Solve for x
    x = 617,323,716/17,233
  6. Step 6: Final answer
    x = 35,822.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.