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Finding the Third Proportional to 17,813.25 and 38,414.25

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Solution

The third proportional to 17,813.25 and 38,414.25 is: 82,840.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,813.25 : 38,414.25 = 38,414.25 : x
  2. Step 2: Convert to fraction form
    17,813.25/38,414.25 = 38,414.25/x
  3. Step 3: Cross multiply
    17,813.25x = 38,414.25 × 38,414.25
  4. Step 4: Simplify right side
    17,813.25x = 1,475,654,603.06
  5. Step 5: Solve for x
    x = 1,475,654,603.06/17,813.25
  6. Step 6: Final answer
    x = 82,840.28

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.