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Finding the Third Proportional to 44,641 and 59,245

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Solution

The third proportional to 44,641 and 59,245 is: 78,626.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,641 : 59,245 = 59,245 : x
  2. Step 2: Convert to fraction form
    44,641/59,245 = 59,245/x
  3. Step 3: Cross multiply
    44,641x = 59,245 × 59,245
  4. Step 4: Simplify right side
    44,641x = 3,509,970,025
  5. Step 5: Solve for x
    x = 3,509,970,025/44,641
  6. Step 6: Final answer
    x = 78,626.60

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.