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Finding the Third Proportional to 36,561.38 and 79,820.44

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Solution

The third proportional to 36,561.38 and 79,820.44 is: 174,263.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,561.38 : 79,820.44 = 79,820.44 : x
  2. Step 2: Convert to fraction form
    36,561.38/79,820.44 = 79,820.44/x
  3. Step 3: Cross multiply
    36,561.38x = 79,820.44 × 79,820.44
  4. Step 4: Simplify right side
    36,561.38x = 6,371,302,242.69
  5. Step 5: Solve for x
    x = 6,371,302,242.69/36,561.38
  6. Step 6: Final answer
    x = 174,263.20

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.