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Finding the Third Proportional to 7,407.70 and 16,201.27

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Solution

The third proportional to 7,407.70 and 16,201.27 is: 35,433.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,407.70 : 16,201.27 = 16,201.27 : x
  2. Step 2: Convert to fraction form
    7,407.70/16,201.27 = 16,201.27/x
  3. Step 3: Cross multiply
    7,407.70x = 16,201.27 × 16,201.27
  4. Step 4: Simplify right side
    7,407.70x = 262,481,007.85
  5. Step 5: Solve for x
    x = 262,481,007.85/7,407.70
  6. Step 6: Final answer
    x = 35,433.52

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.