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Finding the Third Proportional to 2,803.36 and 4,353.12

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Solution

The third proportional to 2,803.36 and 4,353.12 is: 6,759.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.36 : 4,353.12 = 4,353.12 : x
  2. Step 2: Convert to fraction form
    2,803.36/4,353.12 = 4,353.12/x
  3. Step 3: Cross multiply
    2,803.36x = 4,353.12 × 4,353.12
  4. Step 4: Simplify right side
    2,803.36x = 18,949,629.25
  5. Step 5: Solve for x
    x = 18,949,629.25/2,803.36
  6. Step 6: Final answer
    x = 6,759.61

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.