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Finding the Third Proportional to 36,803 and 79,435

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Solution

The third proportional to 36,803 and 79,435 is: 171,451.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,803 : 79,435 = 79,435 : x
  2. Step 2: Convert to fraction form
    36,803/79,435 = 79,435/x
  3. Step 3: Cross multiply
    36,803x = 79,435 × 79,435
  4. Step 4: Simplify right side
    36,803x = 6,309,919,225
  5. Step 5: Solve for x
    x = 6,309,919,225/36,803
  6. Step 6: Final answer
    x = 171,451.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.