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Finding the Third Proportional to 7,353.28 and 15,696.28

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Solution

The third proportional to 7,353.28 and 15,696.28 is: 33,505.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.28 : 15,696.28 = 15,696.28 : x
  2. Step 2: Convert to fraction form
    7,353.28/15,696.28 = 15,696.28/x
  3. Step 3: Cross multiply
    7,353.28x = 15,696.28 × 15,696.28
  4. Step 4: Simplify right side
    7,353.28x = 246,373,245.08
  5. Step 5: Solve for x
    x = 246,373,245.08/7,353.28
  6. Step 6: Final answer
    x = 33,505.21

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.