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Finding the Third Proportional to 17,668.13 and 37,895.34

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Solution

The third proportional to 17,668.13 and 37,895.34 is: 81,279.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,668.13 : 37,895.34 = 37,895.34 : x
  2. Step 2: Convert to fraction form
    17,668.13/37,895.34 = 37,895.34/x
  3. Step 3: Cross multiply
    17,668.13x = 37,895.34 × 37,895.34
  4. Step 4: Simplify right side
    17,668.13x = 1,436,057,077.93
  5. Step 5: Solve for x
    x = 1,436,057,077.93/17,668.13
  6. Step 6: Final answer
    x = 81,279.54

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.