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Finding the Third Proportional to 17,914 and 26,940

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Solution

The third proportional to 17,914 and 26,940 is: 40,513.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,914 : 26,940 = 26,940 : x
  2. Step 2: Convert to fraction form
    17,914/26,940 = 26,940/x
  3. Step 3: Cross multiply
    17,914x = 26,940 × 26,940
  4. Step 4: Simplify right side
    17,914x = 725,763,600
  5. Step 5: Solve for x
    x = 725,763,600/17,914
  6. Step 6: Final answer
    x = 40,513.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.