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Finding the Third Proportional to 36,186.47 and 79,735.22

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Solution

The third proportional to 36,186.47 and 79,735.22 is: 175,692.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,186.47 : 79,735.22 = 79,735.22 : x
  2. Step 2: Convert to fraction form
    36,186.47/79,735.22 = 79,735.22/x
  3. Step 3: Cross multiply
    36,186.47x = 79,735.22 × 79,735.22
  4. Step 4: Simplify right side
    36,186.47x = 6,357,705,109.11
  5. Step 5: Solve for x
    x = 6,357,705,109.11/36,186.47
  6. Step 6: Final answer
    x = 175,692.89

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.