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Finding the Third Proportional to 43,638 and 65,787

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Solution

The third proportional to 43,638 and 65,787 is: 99,178.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,638 : 65,787 = 65,787 : x
  2. Step 2: Convert to fraction form
    43,638/65,787 = 65,787/x
  3. Step 3: Cross multiply
    43,638x = 65,787 × 65,787
  4. Step 4: Simplify right side
    43,638x = 4,327,929,369
  5. Step 5: Solve for x
    x = 4,327,929,369/43,638
  6. Step 6: Final answer
    x = 99,178.00

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.