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Finding the Third Proportional to 41,645.39 and 59,352.96

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Solution

The third proportional to 41,645.39 and 59,352.96 is: 84,589.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,645.39 : 59,352.96 = 59,352.96 : x
  2. Step 2: Convert to fraction form
    41,645.39/59,352.96 = 59,352.96/x
  3. Step 3: Cross multiply
    41,645.39x = 59,352.96 × 59,352.96
  4. Step 4: Simplify right side
    41,645.39x = 3,522,773,972.05
  5. Step 5: Solve for x
    x = 3,522,773,972.05/41,645.39
  6. Step 6: Final answer
    x = 84,589.77

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.