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Finding the Third Proportional to 7,921.13 and 17,409.94

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Solution

The third proportional to 7,921.13 and 17,409.94 is: 38,265.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,921.13 : 17,409.94 = 17,409.94 : x
  2. Step 2: Convert to fraction form
    7,921.13/17,409.94 = 17,409.94/x
  3. Step 3: Cross multiply
    7,921.13x = 17,409.94 × 17,409.94
  4. Step 4: Simplify right side
    7,921.13x = 303,105,923.75
  5. Step 5: Solve for x
    x = 303,105,923.75/7,921.13
  6. Step 6: Final answer
    x = 38,265.51

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.