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Finding the Third Proportional to 17,287 and 37,703

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Solution

The third proportional to 17,287 and 37,703 is: 82,230.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,287 : 37,703 = 37,703 : x
  2. Step 2: Convert to fraction form
    17,287/37,703 = 37,703/x
  3. Step 3: Cross multiply
    17,287x = 37,703 × 37,703
  4. Step 4: Simplify right side
    17,287x = 1,421,516,209
  5. Step 5: Solve for x
    x = 1,421,516,209/17,287
  6. Step 6: Final answer
    x = 82,230.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.