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Finding the Third Proportional to 16,940 and 26,378

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Solution

The third proportional to 16,940 and 26,378 is: 41,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940 : 26,378 = 26,378 : x
  2. Step 2: Convert to fraction form
    16,940/26,378 = 26,378/x
  3. Step 3: Cross multiply
    16,940x = 26,378 × 26,378
  4. Step 4: Simplify right side
    16,940x = 695,798,884
  5. Step 5: Solve for x
    x = 695,798,884/16,940
  6. Step 6: Final answer
    x = 41,074.31

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.