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Finding the Third Proportional to 41,203.69 and 83,576.81

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Solution

The third proportional to 41,203.69 and 83,576.81 is: 169,525.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203.69 : 83,576.81 = 83,576.81 : x
  2. Step 2: Convert to fraction form
    41,203.69/83,576.81 = 83,576.81/x
  3. Step 3: Cross multiply
    41,203.69x = 83,576.81 × 83,576.81
  4. Step 4: Simplify right side
    41,203.69x = 6,985,083,587.66
  5. Step 5: Solve for x
    x = 6,985,083,587.66/41,203.69
  6. Step 6: Final answer
    x = 169,525.69

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Why These Related Problems?

These problems maintain the same ratio (2.03) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.