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Finding the Third Proportional to 39,763 and 59,645

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Solution

The third proportional to 39,763 and 59,645 is: 89,468.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,763 : 59,645 = 59,645 : x
  2. Step 2: Convert to fraction form
    39,763/59,645 = 59,645/x
  3. Step 3: Cross multiply
    39,763x = 59,645 × 59,645
  4. Step 4: Simplify right side
    39,763x = 3,557,526,025
  5. Step 5: Solve for x
    x = 3,557,526,025/39,763
  6. Step 6: Final answer
    x = 89,468.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.