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Finding the Third Proportional to 39,434.44 and 86,006.06

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Solution

The third proportional to 39,434.44 and 86,006.06 is: 187,578.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,434.44 : 86,006.06 = 86,006.06 : x
  2. Step 2: Convert to fraction form
    39,434.44/86,006.06 = 86,006.06/x
  3. Step 3: Cross multiply
    39,434.44x = 86,006.06 × 86,006.06
  4. Step 4: Simplify right side
    39,434.44x = 7,397,042,786.75
  5. Step 5: Solve for x
    x = 7,397,042,786.75/39,434.44
  6. Step 6: Final answer
    x = 187,578.25

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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.