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Finding the Third Proportional to 39,382.45 and 86,419.41

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Solution

The third proportional to 39,382.45 and 86,419.41 is: 189,635.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,382.45 : 86,419.41 = 86,419.41 : x
  2. Step 2: Convert to fraction form
    39,382.45/86,419.41 = 86,419.41/x
  3. Step 3: Cross multiply
    39,382.45x = 86,419.41 × 86,419.41
  4. Step 4: Simplify right side
    39,382.45x = 7,468,313,776.60
  5. Step 5: Solve for x
    x = 7,468,313,776.60/39,382.45
  6. Step 6: Final answer
    x = 189,635.57

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.