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Finding the Third Proportional to 17,454.09 and 37,675.69

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Solution

The third proportional to 17,454.09 and 37,675.69 is: 81,325.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,454.09 : 37,675.69 = 37,675.69 : x
  2. Step 2: Convert to fraction form
    17,454.09/37,675.69 = 37,675.69/x
  3. Step 3: Cross multiply
    17,454.09x = 37,675.69 × 37,675.69
  4. Step 4: Simplify right side
    17,454.09x = 1,419,457,428.60
  5. Step 5: Solve for x
    x = 1,419,457,428.60/17,454.09
  6. Step 6: Final answer
    x = 81,325.19

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.