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Finding the Third Proportional to 41,445.42 and 84,632.34

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Solution

The third proportional to 41,445.42 and 84,632.34 is: 172,820.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,445.42 : 84,632.34 = 84,632.34 : x
  2. Step 2: Convert to fraction form
    41,445.42/84,632.34 = 84,632.34/x
  3. Step 3: Cross multiply
    41,445.42x = 84,632.34 × 84,632.34
  4. Step 4: Simplify right side
    41,445.42x = 7,162,633,608.62
  5. Step 5: Solve for x
    x = 7,162,633,608.62/41,445.42
  6. Step 6: Final answer
    x = 172,820.86

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.