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Finding the Third Proportional to 17,462.25 and 19,082.25

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Solution

The third proportional to 17,462.25 and 19,082.25 is: 20,852.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,462.25 : 19,082.25 = 19,082.25 : x
  2. Step 2: Convert to fraction form
    17,462.25/19,082.25 = 19,082.25/x
  3. Step 3: Cross multiply
    17,462.25x = 19,082.25 × 19,082.25
  4. Step 4: Simplify right side
    17,462.25x = 364,132,265.06
  5. Step 5: Solve for x
    x = 364,132,265.06/17,462.25
  6. Step 6: Final answer
    x = 20,852.54

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.