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Finding the Third Proportional to 17,446 and 24,915

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Solution

The third proportional to 17,446 and 24,915 is: 35,581.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,446 : 24,915 = 24,915 : x
  2. Step 2: Convert to fraction form
    17,446/24,915 = 24,915/x
  3. Step 3: Cross multiply
    17,446x = 24,915 × 24,915
  4. Step 4: Simplify right side
    17,446x = 620,757,225
  5. Step 5: Solve for x
    x = 620,757,225/17,446
  6. Step 6: Final answer
    x = 35,581.64

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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.