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Finding the Third Proportional to 39,217.50 and 80,519.91

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Solution

The third proportional to 39,217.50 and 80,519.91 is: 165,320.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,217.50 : 80,519.91 = 80,519.91 : x
  2. Step 2: Convert to fraction form
    39,217.50/80,519.91 = 80,519.91/x
  3. Step 3: Cross multiply
    39,217.50x = 80,519.91 × 80,519.91
  4. Step 4: Simplify right side
    39,217.50x = 6,483,455,302.51
  5. Step 5: Solve for x
    x = 6,483,455,302.51/39,217.50
  6. Step 6: Final answer
    x = 165,320.46

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.