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Finding the Third Proportional to 43,476 and 69,105

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Solution

The third proportional to 43,476 and 69,105 is: 109,842.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,476 : 69,105 = 69,105 : x
  2. Step 2: Convert to fraction form
    43,476/69,105 = 69,105/x
  3. Step 3: Cross multiply
    43,476x = 69,105 × 69,105
  4. Step 4: Simplify right side
    43,476x = 4,775,501,025
  5. Step 5: Solve for x
    x = 4,775,501,025/43,476
  6. Step 6: Final answer
    x = 109,842.24

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.