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Finding the Third Proportional to 17,086 and 36,752

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Solution

The third proportional to 17,086 and 36,752 is: 79,053.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,086 : 36,752 = 36,752 : x
  2. Step 2: Convert to fraction form
    17,086/36,752 = 36,752/x
  3. Step 3: Cross multiply
    17,086x = 36,752 × 36,752
  4. Step 4: Simplify right side
    17,086x = 1,350,709,504
  5. Step 5: Solve for x
    x = 1,350,709,504/17,086
  6. Step 6: Final answer
    x = 79,053.58

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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.