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Finding the Third Proportional to 3,919.64 and 5,983.24

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Solution

The third proportional to 3,919.64 and 5,983.24 is: 9,133.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.64 : 5,983.24 = 5,983.24 : x
  2. Step 2: Convert to fraction form
    3,919.64/5,983.24 = 5,983.24/x
  3. Step 3: Cross multiply
    3,919.64x = 5,983.24 × 5,983.24
  4. Step 4: Simplify right side
    3,919.64x = 35,799,187.07
  5. Step 5: Solve for x
    x = 35,799,187.07/3,919.64
  6. Step 6: Final answer
    x = 9,133.28

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.