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Finding the Third Proportional to 36,353 and 79,707

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Solution

The third proportional to 36,353 and 79,707 is: 174,764.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,353 : 79,707 = 79,707 : x
  2. Step 2: Convert to fraction form
    36,353/79,707 = 79,707/x
  3. Step 3: Cross multiply
    36,353x = 79,707 × 79,707
  4. Step 4: Simplify right side
    36,353x = 6,353,205,849
  5. Step 5: Solve for x
    x = 6,353,205,849/36,353
  6. Step 6: Final answer
    x = 174,764.28

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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.