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Finding the Third Proportional to 7,353.28 and 11,694.38

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Solution

The third proportional to 7,353.28 and 11,694.38 is: 18,598.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,353.28 : 11,694.38 = 11,694.38 : x
  2. Step 2: Convert to fraction form
    7,353.28/11,694.38 = 11,694.38/x
  3. Step 3: Cross multiply
    7,353.28x = 11,694.38 × 11,694.38
  4. Step 4: Simplify right side
    7,353.28x = 136,758,406.64
  5. Step 5: Solve for x
    x = 136,758,406.64/7,353.28
  6. Step 6: Final answer
    x = 18,598.28

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.