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Finding the Third Proportional to 17,609 and 38,254

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Solution

The third proportional to 17,609 and 38,254 is: 83,103.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,609 : 38,254 = 38,254 : x
  2. Step 2: Convert to fraction form
    17,609/38,254 = 38,254/x
  3. Step 3: Cross multiply
    17,609x = 38,254 × 38,254
  4. Step 4: Simplify right side
    17,609x = 1,463,368,516
  5. Step 5: Solve for x
    x = 1,463,368,516/17,609
  6. Step 6: Final answer
    x = 83,103.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.