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Finding the Third Proportional to 17,094 and 36,552

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Solution

The third proportional to 17,094 and 36,552 is: 78,158.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,094 : 36,552 = 36,552 : x
  2. Step 2: Convert to fraction form
    17,094/36,552 = 36,552/x
  3. Step 3: Cross multiply
    17,094x = 36,552 × 36,552
  4. Step 4: Simplify right side
    17,094x = 1,336,048,704
  5. Step 5: Solve for x
    x = 1,336,048,704/17,094
  6. Step 6: Final answer
    x = 78,158.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.