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Finding the Third Proportional to 17,623.13 and 37,212.75

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Solution

The third proportional to 17,623.13 and 37,212.75 is: 78,577.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,623.13 : 37,212.75 = 37,212.75 : x
  2. Step 2: Convert to fraction form
    17,623.13/37,212.75 = 37,212.75/x
  3. Step 3: Cross multiply
    17,623.13x = 37,212.75 × 37,212.75
  4. Step 4: Simplify right side
    17,623.13x = 1,384,788,762.56
  5. Step 5: Solve for x
    x = 1,384,788,762.56/17,623.13
  6. Step 6: Final answer
    x = 78,577.93

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.