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Finding the Third Proportional to 39,436.88 and 86,101.73

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Solution

The third proportional to 39,436.88 and 86,101.73 is: 187,984.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,436.88 : 86,101.73 = 86,101.73 : x
  2. Step 2: Convert to fraction form
    39,436.88/86,101.73 = 86,101.73/x
  3. Step 3: Cross multiply
    39,436.88x = 86,101.73 × 86,101.73
  4. Step 4: Simplify right side
    39,436.88x = 7,413,508,662.38
  5. Step 5: Solve for x
    x = 7,413,508,662.38/39,436.88
  6. Step 6: Final answer
    x = 187,984.18

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.