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Finding the Third Proportional to 3,629.88 and 7,951.38

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Solution

The third proportional to 3,629.88 and 7,951.38 is: 17,417.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.88 : 7,951.38 = 7,951.38 : x
  2. Step 2: Convert to fraction form
    3,629.88/7,951.38 = 7,951.38/x
  3. Step 3: Cross multiply
    3,629.88x = 7,951.38 × 7,951.38
  4. Step 4: Simplify right side
    3,629.88x = 63,224,364.39
  5. Step 5: Solve for x
    x = 63,224,364.39/3,629.88
  6. Step 6: Final answer
    x = 17,417.78

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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.