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Finding the Third Proportional to 43,568 and 67,584

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Solution

The third proportional to 43,568 and 67,584 is: 104,838.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,568 : 67,584 = 67,584 : x
  2. Step 2: Convert to fraction form
    43,568/67,584 = 67,584/x
  3. Step 3: Cross multiply
    43,568x = 67,584 × 67,584
  4. Step 4: Simplify right side
    43,568x = 4,567,597,056
  5. Step 5: Solve for x
    x = 4,567,597,056/43,568
  6. Step 6: Final answer
    x = 104,838.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.