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Finding the Third Proportional to 8,180.25 and 17,655.75

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Solution

The third proportional to 8,180.25 and 17,655.75 is: 38,107.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,180.25 : 17,655.75 = 17,655.75 : x
  2. Step 2: Convert to fraction form
    8,180.25/17,655.75 = 17,655.75/x
  3. Step 3: Cross multiply
    8,180.25x = 17,655.75 × 17,655.75
  4. Step 4: Simplify right side
    8,180.25x = 311,725,508.06
  5. Step 5: Solve for x
    x = 311,725,508.06/8,180.25
  6. Step 6: Final answer
    x = 38,107.09

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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.