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Finding the Third Proportional to 17,238 and 35,583

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Solution

The third proportional to 17,238 and 35,583 is: 73,451.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,238 : 35,583 = 35,583 : x
  2. Step 2: Convert to fraction form
    17,238/35,583 = 35,583/x
  3. Step 3: Cross multiply
    17,238x = 35,583 × 35,583
  4. Step 4: Simplify right side
    17,238x = 1,266,149,889
  5. Step 5: Solve for x
    x = 1,266,149,889/17,238
  6. Step 6: Final answer
    x = 73,451.09

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Why These Related Problems?

These problems maintain the same ratio (2.06) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.