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Finding the Third Proportional to 17,382 and 26,797

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Solution

The third proportional to 17,382 and 26,797 is: 41,311.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,382 : 26,797 = 26,797 : x
  2. Step 2: Convert to fraction form
    17,382/26,797 = 26,797/x
  3. Step 3: Cross multiply
    17,382x = 26,797 × 26,797
  4. Step 4: Simplify right side
    17,382x = 718,079,209
  5. Step 5: Solve for x
    x = 718,079,209/17,382
  6. Step 6: Final answer
    x = 41,311.66

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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.