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Finding the Third Proportional to 43,633 and 65,388

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Solution

The third proportional to 43,633 and 65,388 is: 97,989.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,633 : 65,388 = 65,388 : x
  2. Step 2: Convert to fraction form
    43,633/65,388 = 65,388/x
  3. Step 3: Cross multiply
    43,633x = 65,388 × 65,388
  4. Step 4: Simplify right side
    43,633x = 4,275,590,544
  5. Step 5: Solve for x
    x = 4,275,590,544/43,633
  6. Step 6: Final answer
    x = 97,989.84

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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.