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Finding the Third Proportional to 17,096 and 36,748

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Solution

The third proportional to 17,096 and 36,748 is: 78,990.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,096 : 36,748 = 36,748 : x
  2. Step 2: Convert to fraction form
    17,096/36,748 = 36,748/x
  3. Step 3: Cross multiply
    17,096x = 36,748 × 36,748
  4. Step 4: Simplify right side
    17,096x = 1,350,415,504
  5. Step 5: Solve for x
    x = 1,350,415,504/17,096
  6. Step 6: Final answer
    x = 78,990.14

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.