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Finding the Third Proportional to 17,830.13 and 39,204

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Solution

The third proportional to 17,830.13 and 39,204 is: 86,199.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,830.13 : 39,204 = 39,204 : x
  2. Step 2: Convert to fraction form
    17,830.13/39,204 = 39,204/x
  3. Step 3: Cross multiply
    17,830.13x = 39,204 × 39,204
  4. Step 4: Simplify right side
    17,830.13x = 1,536,953,616
  5. Step 5: Solve for x
    x = 1,536,953,616/17,830.13
  6. Step 6: Final answer
    x = 86,199.82

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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.