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Finding the Third Proportional to 17,704 and 38,276

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Solution

The third proportional to 17,704 and 38,276 is: 82,752.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,704 : 38,276 = 38,276 : x
  2. Step 2: Convert to fraction form
    17,704/38,276 = 38,276/x
  3. Step 3: Cross multiply
    17,704x = 38,276 × 38,276
  4. Step 4: Simplify right side
    17,704x = 1,465,052,176
  5. Step 5: Solve for x
    x = 1,465,052,176/17,704
  6. Step 6: Final answer
    x = 82,752.61

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.