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Finding the Third Proportional to 43,636 and 65,819

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Solution

The third proportional to 43,636 and 65,819 is: 99,279.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,636 : 65,819 = 65,819 : x
  2. Step 2: Convert to fraction form
    43,636/65,819 = 65,819/x
  3. Step 3: Cross multiply
    43,636x = 65,819 × 65,819
  4. Step 4: Simplify right side
    43,636x = 4,332,140,761
  5. Step 5: Solve for x
    x = 4,332,140,761/43,636
  6. Step 6: Final answer
    x = 99,279.05

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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.