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Finding the Third Proportional to 11,634 and 17,817

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Solution

The third proportional to 11,634 and 17,817 is: 27,286.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,634 : 17,817 = 17,817 : x
  2. Step 2: Convert to fraction form
    11,634/17,817 = 17,817/x
  3. Step 3: Cross multiply
    11,634x = 17,817 × 17,817
  4. Step 4: Simplify right side
    11,634x = 317,445,489
  5. Step 5: Solve for x
    x = 317,445,489/11,634
  6. Step 6: Final answer
    x = 27,286.01

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.