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Finding the Third Proportional to 17,212 and 36,491

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Solution

The third proportional to 17,212 and 36,491 is: 77,364.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,212 : 36,491 = 36,491 : x
  2. Step 2: Convert to fraction form
    17,212/36,491 = 36,491/x
  3. Step 3: Cross multiply
    17,212x = 36,491 × 36,491
  4. Step 4: Simplify right side
    17,212x = 1,331,593,081
  5. Step 5: Solve for x
    x = 1,331,593,081/17,212
  6. Step 6: Final answer
    x = 77,364.23

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.