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Finding the Third Proportional to 3,634.88 and 7,617.38

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Solution

The third proportional to 3,634.88 and 7,617.38 is: 15,963.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,634.88 : 7,617.38 = 7,617.38 : x
  2. Step 2: Convert to fraction form
    3,634.88/7,617.38 = 7,617.38/x
  3. Step 3: Cross multiply
    3,634.88x = 7,617.38 × 7,617.38
  4. Step 4: Simplify right side
    3,634.88x = 58,024,401.89
  5. Step 5: Solve for x
    x = 58,024,401.89/3,634.88
  6. Step 6: Final answer
    x = 15,963.25

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These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.