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Finding the Third Proportional to 36,460.13 and 79,668.56

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Solution

The third proportional to 36,460.13 and 79,668.56 is: 174,082.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,460.13 : 79,668.56 = 79,668.56 : x
  2. Step 2: Convert to fraction form
    36,460.13/79,668.56 = 79,668.56/x
  3. Step 3: Cross multiply
    36,460.13x = 79,668.56 × 79,668.56
  4. Step 4: Simplify right side
    36,460.13x = 6,347,079,850.82
  5. Step 5: Solve for x
    x = 6,347,079,850.82/36,460.13
  6. Step 6: Final answer
    x = 174,082.78

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