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Finding the Third Proportional to 1,320.05 and 2,729.32

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Solution

The third proportional to 1,320.05 and 2,729.32 is: 5,643.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,320.05 : 2,729.32 = 2,729.32 : x
  2. Step 2: Convert to fraction form
    1,320.05/2,729.32 = 2,729.32/x
  3. Step 3: Cross multiply
    1,320.05x = 2,729.32 × 2,729.32
  4. Step 4: Simplify right side
    1,320.05x = 7,449,189.37
  5. Step 5: Solve for x
    x = 7,449,189.37/1,320.05
  6. Step 6: Final answer
    x = 5,643.12

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.