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Finding the Third Proportional to 3,664.93 and 7,465.61

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Solution

The third proportional to 3,664.93 and 7,465.61 is: 15,207.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,664.93 : 7,465.61 = 7,465.61 : x
  2. Step 2: Convert to fraction form
    3,664.93/7,465.61 = 7,465.61/x
  3. Step 3: Cross multiply
    3,664.93x = 7,465.61 × 7,465.61
  4. Step 4: Simplify right side
    3,664.93x = 55,735,265.02
  5. Step 5: Solve for x
    x = 55,735,265.02/3,664.93
  6. Step 6: Final answer
    x = 15,207.71

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.