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Finding the Third Proportional to 15,314 and 16,934

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Solution

The third proportional to 15,314 and 16,934 is: 18,725.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,314 : 16,934 = 16,934 : x
  2. Step 2: Convert to fraction form
    15,314/16,934 = 16,934/x
  3. Step 3: Cross multiply
    15,314x = 16,934 × 16,934
  4. Step 4: Simplify right side
    15,314x = 286,760,356
  5. Step 5: Solve for x
    x = 286,760,356/15,314
  6. Step 6: Final answer
    x = 18,725.37

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.