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Finding the Third Proportional to 27,829.25 and 43,098.38

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Solution

The third proportional to 27,829.25 and 43,098.38 is: 66,745.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    27,829.25 : 43,098.38 = 43,098.38 : x
  2. Step 2: Convert to fraction form
    27,829.25/43,098.38 = 43,098.38/x
  3. Step 3: Cross multiply
    27,829.25x = 43,098.38 × 43,098.38
  4. Step 4: Simplify right side
    27,829.25x = 1,857,469,927.64
  5. Step 5: Solve for x
    x = 1,857,469,927.64/27,829.25
  6. Step 6: Final answer
    x = 66,745.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.