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Finding the Third Proportional to 3,917.53 and 8,381.39

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Solution

The third proportional to 3,917.53 and 8,381.39 is: 17,931.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,917.53 : 8,381.39 = 8,381.39 : x
  2. Step 2: Convert to fraction form
    3,917.53/8,381.39 = 8,381.39/x
  3. Step 3: Cross multiply
    3,917.53x = 8,381.39 × 8,381.39
  4. Step 4: Simplify right side
    3,917.53x = 70,247,708.81
  5. Step 5: Solve for x
    x = 70,247,708.81/3,917.53
  6. Step 6: Final answer
    x = 17,931.63

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.