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Finding the Third Proportional to 17,288 and 36,880

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Solution

The third proportional to 17,288 and 36,880 is: 78,675.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,288 : 36,880 = 36,880 : x
  2. Step 2: Convert to fraction form
    17,288/36,880 = 36,880/x
  3. Step 3: Cross multiply
    17,288x = 36,880 × 36,880
  4. Step 4: Simplify right side
    17,288x = 1,360,134,400
  5. Step 5: Solve for x
    x = 1,360,134,400/17,288
  6. Step 6: Final answer
    x = 78,675.06

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.