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Finding the Third Proportional to 7,409 and 16,195

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Solution

The third proportional to 7,409 and 16,195 is: 35,399.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,409 : 16,195 = 16,195 : x
  2. Step 2: Convert to fraction form
    7,409/16,195 = 16,195/x
  3. Step 3: Cross multiply
    7,409x = 16,195 × 16,195
  4. Step 4: Simplify right side
    7,409x = 262,278,025
  5. Step 5: Solve for x
    x = 262,278,025/7,409
  6. Step 6: Final answer
    x = 35,399.92

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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.