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Finding the Third Proportional to 36,868 and 75,464

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Solution

The third proportional to 36,868 and 75,464 is: 154,464.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,868 : 75,464 = 75,464 : x
  2. Step 2: Convert to fraction form
    36,868/75,464 = 75,464/x
  3. Step 3: Cross multiply
    36,868x = 75,464 × 75,464
  4. Step 4: Simplify right side
    36,868x = 5,694,815,296
  5. Step 5: Solve for x
    x = 5,694,815,296/36,868
  6. Step 6: Final answer
    x = 154,464.99

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.