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Finding the Third Proportional to 36,414 and 79,614

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Solution

The third proportional to 36,414 and 79,614 is: 174,064.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,414 : 79,614 = 79,614 : x
  2. Step 2: Convert to fraction form
    36,414/79,614 = 79,614/x
  3. Step 3: Cross multiply
    36,414x = 79,614 × 79,614
  4. Step 4: Simplify right side
    36,414x = 6,338,388,996
  5. Step 5: Solve for x
    x = 6,338,388,996/36,414
  6. Step 6: Final answer
    x = 174,064.62

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.