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Finding the Third Proportional to 17,275 and 36,292

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Solution

The third proportional to 17,275 and 36,292 is: 76,243.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,275 : 36,292 = 36,292 : x
  2. Step 2: Convert to fraction form
    17,275/36,292 = 36,292/x
  3. Step 3: Cross multiply
    17,275x = 36,292 × 36,292
  4. Step 4: Simplify right side
    17,275x = 1,317,109,264
  5. Step 5: Solve for x
    x = 1,317,109,264/17,275
  6. Step 6: Final answer
    x = 76,243.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.