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Finding the Third Proportional to 36,816 and 79,508

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Solution

The third proportional to 36,816 and 79,508 is: 171,705.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,816 : 79,508 = 79,508 : x
  2. Step 2: Convert to fraction form
    36,816/79,508 = 79,508/x
  3. Step 3: Cross multiply
    36,816x = 79,508 × 79,508
  4. Step 4: Simplify right side
    36,816x = 6,321,522,064
  5. Step 5: Solve for x
    x = 6,321,522,064/36,816
  6. Step 6: Final answer
    x = 171,705.84

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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.