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Finding the Third Proportional to 41,203.69 and 46,549.69

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Solution

The third proportional to 41,203.69 and 46,549.69 is: 52,589.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,203.69 : 46,549.69 = 46,549.69 : x
  2. Step 2: Convert to fraction form
    41,203.69/46,549.69 = 46,549.69/x
  3. Step 3: Cross multiply
    41,203.69x = 46,549.69 × 46,549.69
  4. Step 4: Simplify right side
    41,203.69x = 2,166,873,406.35
  5. Step 5: Solve for x
    x = 2,166,873,406.35/41,203.69
  6. Step 6: Final answer
    x = 52,589.31

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These problems maintain the same ratio (1.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.