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Finding the Third Proportional to 7,150.78 and 16,704.28

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Solution

The third proportional to 7,150.78 and 16,704.28 is: 39,021.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,150.78 : 16,704.28 = 16,704.28 : x
  2. Step 2: Convert to fraction form
    7,150.78/16,704.28 = 16,704.28/x
  3. Step 3: Cross multiply
    7,150.78x = 16,704.28 × 16,704.28
  4. Step 4: Simplify right side
    7,150.78x = 279,033,012.08
  5. Step 5: Solve for x
    x = 279,033,012.08/7,150.78
  6. Step 6: Final answer
    x = 39,021.33

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.