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Finding the Third Proportional to 3,628.97 and 7,918.59

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Solution

The third proportional to 3,628.97 and 7,918.59 is: 17,278.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,628.97 : 7,918.59 = 7,918.59 : x
  2. Step 2: Convert to fraction form
    3,628.97/7,918.59 = 7,918.59/x
  3. Step 3: Cross multiply
    3,628.97x = 7,918.59 × 7,918.59
  4. Step 4: Simplify right side
    3,628.97x = 62,704,126.98
  5. Step 5: Solve for x
    x = 62,704,126.98/3,628.97
  6. Step 6: Final answer
    x = 17,278.77

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.