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Finding the Third Proportional to 3,015.28 and 6,533.72

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Solution

The third proportional to 3,015.28 and 6,533.72 is: 14,157.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,015.28 : 6,533.72 = 6,533.72 : x
  2. Step 2: Convert to fraction form
    3,015.28/6,533.72 = 6,533.72/x
  3. Step 3: Cross multiply
    3,015.28x = 6,533.72 × 6,533.72
  4. Step 4: Simplify right side
    3,015.28x = 42,689,480.70
  5. Step 5: Solve for x
    x = 42,689,480.70/3,015.28
  6. Step 6: Final answer
    x = 14,157.71

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.