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Finding the Third Proportional to 3,320.37 and 5,068.83

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Solution

The third proportional to 3,320.37 and 5,068.83 is: 7,738.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,320.37 : 5,068.83 = 5,068.83 : x
  2. Step 2: Convert to fraction form
    3,320.37/5,068.83 = 5,068.83/x
  3. Step 3: Cross multiply
    3,320.37x = 5,068.83 × 5,068.83
  4. Step 4: Simplify right side
    3,320.37x = 25,693,018.56
  5. Step 5: Solve for x
    x = 25,693,018.56/3,320.37
  6. Step 6: Final answer
    x = 7,738.01

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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.