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Finding the Third Proportional to 29,452.42 and 41,641.37

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Solution

The third proportional to 29,452.42 and 41,641.37 is: 58,874.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,452.42 : 41,641.37 = 41,641.37 : x
  2. Step 2: Convert to fraction form
    29,452.42/41,641.37 = 41,641.37/x
  3. Step 3: Cross multiply
    29,452.42x = 41,641.37 × 41,641.37
  4. Step 4: Simplify right side
    29,452.42x = 1,734,003,390.08
  5. Step 5: Solve for x
    x = 1,734,003,390.08/29,452.42
  6. Step 6: Final answer
    x = 58,874.74

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.