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Finding the Third Proportional to 39,376.13 and 82,594.69

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Solution

The third proportional to 39,376.13 and 82,594.69 is: 173,249.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,376.13 : 82,594.69 = 82,594.69 : x
  2. Step 2: Convert to fraction form
    39,376.13/82,594.69 = 82,594.69/x
  3. Step 3: Cross multiply
    39,376.13x = 82,594.69 × 82,594.69
  4. Step 4: Simplify right side
    39,376.13x = 6,821,882,403.22
  5. Step 5: Solve for x
    x = 6,821,882,403.22/39,376.13
  6. Step 6: Final answer
    x = 173,249.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.