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Finding the Third Proportional to 13,615 and 21,934

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Solution

The third proportional to 13,615 and 21,934 is: 35,336.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,615 : 21,934 = 21,934 : x
  2. Step 2: Convert to fraction form
    13,615/21,934 = 21,934/x
  3. Step 3: Cross multiply
    13,615x = 21,934 × 21,934
  4. Step 4: Simplify right side
    13,615x = 481,100,356
  5. Step 5: Solve for x
    x = 481,100,356/13,615
  6. Step 6: Final answer
    x = 35,336.05

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.