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Finding the Third Proportional to 17,399 and 36,026

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Solution

The third proportional to 17,399 and 36,026 is: 74,594.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,399 : 36,026 = 36,026 : x
  2. Step 2: Convert to fraction form
    17,399/36,026 = 36,026/x
  3. Step 3: Cross multiply
    17,399x = 36,026 × 36,026
  4. Step 4: Simplify right side
    17,399x = 1,297,872,676
  5. Step 5: Solve for x
    x = 1,297,872,676/17,399
  6. Step 6: Final answer
    x = 74,594.67

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.