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Finding the Third Proportional to 16,940 and 26,079

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Solution

The third proportional to 16,940 and 26,079 is: 40,148.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,940 : 26,079 = 26,079 : x
  2. Step 2: Convert to fraction form
    16,940/26,079 = 26,079/x
  3. Step 3: Cross multiply
    16,940x = 26,079 × 26,079
  4. Step 4: Simplify right side
    16,940x = 680,114,241
  5. Step 5: Solve for x
    x = 680,114,241/16,940
  6. Step 6: Final answer
    x = 40,148.42

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.